A food factory produces two kinds of pizza: standard and healthy. The healthy one uses 0.05kg white flour and 0.05kg wholemeal flour, while the standard one uses 0.09kg white flour and 0.01kg wholemeal flour. The company makes £0.9 profit with the standard pizza and £1.6 profit with the healthy pizza. Their supply of white flour is restricted to 4100kg a week, while their supply for wholemeal flour is restricted to 2200kg a week. Using linear programming, find the optimal solution. Then calculate the extra profit or shadow price that can be generated arising from having one more kg of white flour available. Give your result for the shadow price in pounds and to at least 2 decimal places.
Q: Fancy Pineapple produces pineapple juice and canned pineapple rings. This year the company…
A: Linear programming is a useful technique to solve the system of linear inequalities and find out the…
Q: Fillmore, Buchanan, Inc. would like to develop a plan for building and shipping their Max Turbine…
A: Find the Given Details below: Given Details: Shipping cost Per Unit Dale City Refining Gas…
Q: A small bank has $1,000,000 in new funds that must be allocated to various loan types, including…
A: Given data is Rate of return by home loans = 7% = 0.7 Rate of return by personal loans = 12% = 0.12…
Q: Aire-Co produces home dehumidifiers at two different plants in Atlanta and Phoenix. The per unit…
A: Let, For month 1,2 and 3 quantity prroducesx1 , x2 , x3 = At Atlanta Quantity is produced y1 ,…
Q: The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with…
A: WE ARE ALLOWED TO DO THE FIRST THREE SUB-PARTS ONLY. THE ANSWER IS AS BELOW:
Q: A company wants to plan production for the ensuing year to minimize the combined cost of production…
A: The production is scheduled to minimize the total cost as:
Q: Universal Claims Processors processes insurance claims for large national insurance companies. Most…
A: Let ‘x’ be the number of permanent operators to be hired. Let ‘y’ be the number of temporary…
Q: A company has three factories. Each factory produces three different products (A, B and C). Factory…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have…
A: Let's define the variables. Formulation: x1 - No. of chairs to producex2 - No. of tables to…
Q: The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with…
A: In this question, some values are given in container unit and some values are given in ounce unit.…
Q: The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats…
A:
Q: Muir Manufacturing produces two popular grades of commercial carpeting among its many other…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: A refinery manufactures two grades of jet fuel, Fl and F2, by blending four types of gasoline, A. B,…
A: For the above question, let the objective function be: Function of objective = Total profit on…
Q: Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The Memphis…
A: A transportation problem requires shipments to move directly from supply points to demand points.…
Q: BS Oil manages a refinery in the Gulf of Mexico. The refinery distills crude oil from two sources,…
A: Country A Country B Cost 20 15 Barrel available per day 9000 6000 Content Per…
Q: Irwin Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier…
A: Let Denim = D and Corduroy = C Maximize profit = 2.25D + 3.10C subject to 5D + 7.5 C <=…
Q: Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have…
A: LET US ASSUME TABLES TO BE SOLD TO X LET US ASSUME CHAIRS TO BE SOLD TO Y
Q: A company makes two fabrics (X and Y) using two machines (A and B). Each unit of X that is produced…
A: The problem is solved graphically below. Kindly post the second part of the question separately.
Q: A refinery manufactures two grades of jet fuel, Fl and F2, by blending four types of gasoline, A. B,…
A: Let, Function of objective = Total profit on selling is F1 and F2 Cost of A = $120 per barrel Cost…
Q: XYZ Corporation operates two plants, each of which has a capacity of 200 units per day. Each day,…
A: Since you have submitted multiple questions, as per guideline we have answered the first question…
Q: Irwin Textile Mills produces two types of cotton clothdenim and corduroy. Corduroy is a heavier…
A: Irwin textile has two product category and they want to maximize profit. So we need to check how…
Q: Muir Manufacturing produces two popular grades of commercial carpeting among its many other…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: The Skimmer Boat Company manufactures three kinds of molded fiberglass recreational boatsa bass…
A: The manufacturing process of the organization is of different types of Job shop process, Continuous…
Q: A small appliance manufacturer must meet (on time) the following demands: quarter 1, 3000 units;…
A: Given that: Unit Regular labor cost = $40 Unit Overtime Labor cost = $60 Waste during production =…
Q: The White Horse Apple Products Company purchases apples from local growers and makes applesauce and…
A: Here the company has two different products as apple juice and apple sauces. They have certain…
Q: The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main…
A: It is basically LP problem, It comes under Operations Management, I have first formulated this…
Q: A manufacturer produces bicycles and motorcycles, each of which must be processed through two…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit…
A: Given, Product Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40
Q: Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The Memphis…
A: Linear programming, often known as linear optimization, is a method for obtaining the best result…
Q: Weenies and Buns is a food processing plant which manufactures hot dogs and hot dog buns. They grind…
A: a) Let assume number of hot dogs 'x' and number of hot dog buns be 'y' Each hot dog bun required 0.1…
Q: The Southfork Feed Company makes a feed mix from four ingredients—oats, corn, soybeans, and a…
A: From the given data: Let , x0 = Number of pounds of Oats xc = Number of pounds of Corn xs = Number…
Q: You have solved a 3-variable maximisation Linear Program with the objective function of z = 4x1 +…
A: Objective function: Maximize Z = 4x1+3x2+7x3 x1 = 7 x2 = 0 x3 = 0 Optimal value of Z =…
Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…
A: The linear programming model is used to maximize the profit or minimize the cost using the limited…
Q: NEO Chemical produces two products, namely A and B. Each product is produced by blending three types…
A: Given data is Revenue by product A = 60 euros Revenue by product B = 50 euros Available RM1 = 600…
Q: The Southfork Feed Company makes a feed mix from four ingredientsoats, corn, soybeans, and a vitamin…
A: Given information: Oats = 300 pounds Corn= 400 pounds Soyabeans = 200 pounds Vitamin = 100 pounds…
Q: A food factory produces two kinds of pizza: standard and healthy. The healthy one uses 0.05kg white…
A: The linear programming problem (LPP) is used to find the optimal value for a linear function while…
Q: An appliance manufacturer produces two models of electric fans: stand fans and desk fans. Both model…
A: This question is related to the topic of Decision Making and this topic falls under the operations…
Q: Exeter Mines produces iron ore at four different mines; however, the ores extracted at each mine are…
A:
Q: Irwin Textile Mills produces two types of cotton clothdenim and corduroy. Corduroy is a heavier…
A: Profit maximization is the only objective of every firm, whether it is short term or long term goal.…
Q: A tea company sells tea under a "premium label" and an "economy label". Both are blended from three…
A: Find solution using Simplex method MAX Z = 60x1 + 30x2 + 10x3subject tox2 + x3 >= 200…
Q: Universal Claims Processors processes insurance claims for large national insurance companies. Most…
A: Here, we would formulate the Linear programming model for the given problem, Here, as per the…
Q: sources—rubber and leather. The resource requirements for each product and the total resources…
A: formulating a linear programming:
Q: BS Oil manages a refinery in the Gulf of Mexico. The refinery distills crude oil from two sources,…
A: Country A Country B Cost 20 15 Barrel available per day 9000 6000 Content Per…
Q: The problem below involves three variables. Solve it with the simplex method, Excel, or some other…
A: Let, T = Units of tables to be made C = Units of chairs to be made S = Units of Stools to be made
Q: Ice cream entrepreneurs Tess and Coy produce two types of dairy ice cream products: Chocolate…
A: Objective function: Max Z=250C+350V Subject to constraints: 1.) 6M+9P≤3602.) 8M+5P≤400M,P≥0
Q: A manufacturing firm produces two products. Each product must undergo an assembly process and a…
A: let the products be A, B suppose the number of units A produced = x the number of units B produced =…
Q: 1.How many corner points are there in this LP problem? a. 2 b. 3 c. 4 d.5 e.6 2. Which of…
A: Below is the solution:-
Q: One constraint of a two decision variable LP problem is 3x+ 4y ≤ 2400. The point (300, 400), that is…
A: ANSWER : Option : c) not a solution with regards to 3x + 4y ≤ 2400
Q: A small cheese maker specialises in two types of cheese – Brie and Gouda that he makes and sells in…
A: This question is part of linear programming, this question is part of Business -operations…
Q: XYZ Corporation operates two plants, each of which has a capacity of 130 units per day. Each day,…
A: Decision Variable: Suppose the no. of units shipped from Plant 1 to A, B, C, and D be x1A, x1B,…
3
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.Casting molds are produced by MYMOLD company. Each order has unique specifications, depending on customer needs. MYMOLD has received an order of two molds from a customer. The agreed selling price of the molds is 5000TL per mold. According to the agreement, for a defective mold the customer will pay 1000TL instead of the standard price. The customer will not buy any more than two molds and there is a 2000 TL fine for not meeting the demand with two non-defective molds. The excess molds can be salvaged for 500 TL per piece. The cost of production per mold is 2000TL and the probability of producing a non-defective mold is 0.8. Assume that MYMOLD decided to produce two molds, and the first production has been succesfull (a non-defective mold is produced). What is the expected profit given the result of the first production?Structure Furniture, manufactures coffee tables. Structure Furniture has a policy of adding a 20% markup to full costs and currently has excess capacity. The following information pertains to the company's normal operations per month: Output units Machine-hours 30,000tables 8,000hours Direct manufacturing labour-hours 10,000hours Direct materials per unit Direct manufacturing labour per hour Variable manufacturing overhead costs Fixed manufacturing overhead costs Product and process design costs Marketing and distribution costs S100 S12 $322,500 $1,200,000 $900,000 $1,125,000 a) Structure Furniture is approached by an overseas customer to fulfill a one-time-only special order for 1,000 units. All cost relationships remain the same except for a one-time setup charge of $20,000. No additional design, marketing, or distribution costs will be incurred. What is the minimum acceptable bid per unit on this one-time-only special order? b) What is the Structure Furniture full product cost for…
- Sturgill Manufacturing Inc. needs to predict the numbers of machines and employees required to produce its planned production for the coming year. The plant runs three shifts continuously during the workweek, for a total of 120 hours of capacity per week. The shop efficiency (the percent of total time available for production), which accounts for setups, changeovers, and maintenance, averages 70% with a standard deviation of 5%, which reduces the weekly capacity. Six key parts are produced, and the plant has three different types of machines to produce each part. The machines are not interchangeable as they each have a specific function. The time to produce each part on each machine varies. The mean time and standard deviation (in hours) to produce each part on each machine are shown below: Mean Time Part Type Machine A Machine B Machine C 1 3.5 2.6 8.9 2 3.4 2.5 8 3 1.8 3.5 12.6 4 2.4 5.8 12.5 5 4.2 4.3 28 6…Tyrene Products manufactures recreational equipment. One of the company’s products, a skate-board, sells for $37.50. The skateboards are manufactured in an antiquated plant that relies heavily on direct labor workers. Thus, variable costs are high, totaling $22.50 per skateboard of which60% is direct labor cost.Over the past year the company sold 40,000 skateboards, with the following operating results: Sales (40,000 skateboards) $1,500,000 Variable expenses 900,000 Contribution margin 600,000 Fixed expenses 480,000 Net operating income $ 120,000 Management is anxious to maintain and perhaps even improve its present level of income from theskateboards. Required: 1. Compute ( a ) the CM ratio and the break-even point in skateboards, and ( b ) the degree of oper-ating leverage at last year’s level of sales. 2. Due to an increase in labor rates, the company estimates that variable costs will increase by$3 per skateboard next year. If this change takes place and the selling…a) Suppose you walk into a large supermarket at 2 am with a friend. Your friend says, "I can't believe that these stores stay open all night. Only one out of fifteen checkout lines is open. There can't be more than ten shoppers in this store. It just doesn't make any sense for this store to be open all night." What conditions must be true for it to be to the advantage of the supermarket to stay open all night? b) Your friend has a large garden and grows fresh fruit and vegetables to be sold at a local "farmer's market." Last year your friend was the only worker in the garden, without any additional workers. However, this year your friend hired a worker and production more than doubled. He comments "Next summer, I think I'll hire another two workers (so total workers including myself would go up from 2 to 4) and my output should again more than double". Is it likely that he could hire more workers and always continue to reap greater than proportional increases in production? Why?
- HERO Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of pesos) depends on demand as follows: Demand Demand Demand Staffing Options High Medium Low Own staff 352 325 300 Outsider vendor 450 300 150 Combination 400 325 250 If the decision maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using:i. the optimistic approach and the conservative approach iii. the minimax regret approach iv. the Laplace methodThomas has eight horses averaging 1,400 pounds. They are on 20 acres of orchard grass and clover. Each year, Thomas applied 30-30-30 units of fertilizer per acre using 46-0-0 urea at $408 per ton, 18-46-0 DAP at $496 per ton, and 0-0-60 muriate of potash at $506 per ton. He reseeded with 10 pounds per acre of orchard grass at $1.19 per pound and 2 pounds per acre of clover at $3.18 per pound. The horses are housed in a barn 34 feet wide with stalls 12 by 12 feet on each side and a 10-foot aisle down the center. He needs at least one fifth of the barn, not including the center, for hay and tack room. What did it cost to fertilize and reseed the pasture? How long must he barn be in even number of feet?Three methods can be used for producing heat sensors for high-temperature furnaces. Method A will have a fixed cost of $140,000 per year and a production cost of $62 per part. Method B will have a fixed cost of $210,000 per year and a production cost of $28 per part. Method C will require the purchase of equipment costing $500,000. It will have a life of five years and a 25% of first cost salvage value. The production cost will be $53 per part. At an interest rate of 10% per year, determine the breakeven annual production rate between the two lowest cost methods.
- She must travel to Kenya to check on quality and transportation. The trip will cost $2,500. The cost of the handbag is $10 and shipping to the United States can occur through the postal system for $2 per handbag or through a freight company which will ship a container that can hold up to 1,000 handbags at a cost of $1,000. The freight company charges $1,000 even if less than 1,000 handbags are shipped. Leslie will sell the handbags to retailers for $20. Assume there are no other costs and benefits. what is the output level that both shipping methods yield same profit? HoAssuming your company is producing Apple and Samsung phone cases. It is required to process in the assembly and paint shops to make either phone case. It takes 1/60 of a day and 1/40 of a day to paint an Apple case and a Samsung case in the paint shop, respectively. It takes 1/50 of a day to assemble either type of case in the assembly shop. An Apple phone case and a Samsung phone case yield profits of $300 and $220, respectively, per case sold. What is a maximum-profit daily production plan for your company?The ABC Corporation has been engaged in the manufacture of electronic components for automobiles for the last five years. The company employees 350 employees and about 30 supervisors and managers. The increase in technology requires that employees be sent to cope with the increasing demand for updated new products consistent with the demand of local and foreign customers. The HR Manager suggested that three of the managers and eight supervisors be sent to the mother company in Japan for updates in technology on car electronics. The Vice President for Finance and the Operation Manager opposed the recommendation on the basis of cost-cutting and lack of personnel to handle the operations while they were asway for two months. They suggested that technicians from the mother company be invited instead to handle the training in the Philippines. The cost of training by the mother company would double the cost of training as they are paid higher allowances and salaries that will be charged to…