Every year, Danielle Santos sells 53,856 cases of her Delicious Cookie Mix. It costs her $1 per year in electricity to store a case, plus she must pay annual warehouse fees of $4 per case for the maximum number of cases she will store. If it costs her $748 to set up a production run, plus $9 per case to manufacture a single case, how many production runs should she have each year to minimize her total costs? The number of production runs that Danielle should have is
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- Suppose you sell items on a web site like Etsy and making them requires you to rent some equipment costing $1000 per year as a fixed cost. The materials for making these items cost $30 per item as a variable cost, and you sell them for a price of $50 each. What number of items D' must you make and sell each year for you to breakeven on the cost of this activity? You may be able to raise your sales price and then sell fewer items to maximize profit. Since other people make and sell similar items, a higher price lowers the demand for your product according to the price function p = $120 - 1.5 D. What is the profit maximizing number of items D* that you would need to make and sell to maximize profit? What is the profit earned for the annual number of items made and sold in part b?Price and cost ($ per 1,000-gallon unit) Return t A municipal water utility employs quasi-fixed capital inputs-the water treatment plant and distribution lines to homes-to supply water to 20,000 households in the community it serves. The figure below shows the cost structure of this utility for various levels of water service. Quantity of water consumption is measured in 1,000-gallon units per month. AQFC is the average quasi-fixed cost curve, and LAC is long-run average cost. Long-run marginal cost, LMC, is constant and equal to $4 per 1,000-gallon unit. The inverse demand equation is P= 24 -0.0004Qd 10 14 MR Quantity (1,000-gallon units per month) Quasi-fixed capital inputs cost per month is $ LAC AQFC LMC DTrenny has asked her assistant to prepare estimates of cost of two different sizes of power plants. The assistant reports that the cost of the 130 MW plant is $200,000,000, while the cost of the 240 MW plant is $320,000,000. If Trenny has a budget of only $300,000,000, estimate how large a power plant she could afford using linear interpolation (Enter your answer rounded to one decimal place and in MW eg. XX.X)? Number CL
- Assume you were hired as a Production Engineer in a global Bearing Manufacturer company and given the following inputs: Equipment Maintenance Cost per Month Utilities Cost per Month Material Cost per Unit Labor Cost per Unit Selling Price per Unit S60,000.00 $12.000.00 $12.00 $3.00 $24.00 Calculate Total Fixed Cost per Month Calculate Total Variable Cost per Unit = Calculate number of Units to be sold to reach Break-Even Point = Calculate number of Units that must be sold to eam profit of $90,000.00SOLVE STEP BY STEP IN DIGITAL FORMAT The company Cielito S.A. It manufactures clothing for older adults and has a large presence in Mexico, due to the comfort and good taste of its garments. It has 60 seamstresses who work 8 hours a day; Indirect manufacturing expenses are $9,500.00 MXN. Every day Cielito S.A. produces 1,500 garments. The cost per hour of labor is $55.00 MXN. With this data, you must calculate: a. Labor or labor productivity. b. The productivity of manufacturing indirect expenses. c. The total productivity of Cielito S.A.The cost C (in dollars) of manufacturing x number of high-quality computer laser printers is C(x)=9x^4/3+9x^2/3+600,000 Currently, the level of production is 1,728 printers and that level is increasing at the rate of 250 printers per month. Find the rate at which the cost is increasing each month.The cost is increasing at about $______ per month.
- The costs of producing a commodity consist of ₱102.00 per unit for labor and material cost and ₱54.00 per unit for other variable cost. The fixed cost per month amounts to ₱850,000. The commodity is sold at ₱740.00 each,a. what is the break-even quantity per month?(Hint: for Break-even quantity, COST = REVENUE)b. how many units must be produced each month in order that the net profit equalsthe cost?c. what is the net profit if for a production of 4000 units per month, in pesos?(HInt: PROFIT = REVENUE - COST)An Apple Cars plant operates most efficiently (average unit cost is minimized) when producing 18,300 cars each month. It has a maximum output capability of 22,000 units per month (e.g., when its CEO, Tim Chef, forces everyone to work crazy amounts of overtime), and can make as few as 7,000 units per month without forcing the hand of executives to shift production to another plant. If the plant makes 12,770 cars in December, what was the capacity utilization rate? Round your final answer to 1 decimal place, and enter it as a percent without the percent sign; for example, use 18.9, not 18.9% or .2. Capacity utilization rateConsider the following production and cost functionsq=〖(10K^(2/5)+5L^(2/5))〗^(5/2)1250=20K+8LWhich implies〖MP〗_K=10〖(10K^(2/5)+5L^(2/5))〗^(3/2) K^(-3/5)〖MP〗_L=5〖(10K^(2/5)+5L^(2/5))〗^(3/2) L^(-3/5)What is the profit maximizing combination of K and L?
- Suppose that the production function takes the form X = min(10L, 5K) and that a competitive firm faces a wage rate of £60 per week and a weekly capital rental of £32. (a) How much must the firm spend to produce 100 units of output, and what is the average cost of production when X = 100? (b) What is the incremental cost of producing the 101st unit of output? (c) What happens to the cost of producing 100 units of output if the wage rate and the rental cost of capital rise by 25 per cent each? What happens to the average and marginal cost? (d) What happens to the cost of producing 100 units of output if the wage rate increases by £1, or if the cost of capital increases by £1?MINIMIZING INVENTORY COSTS A bookstore expects to sell 100 calculus textbooks during the next year. It costs $3.20 to store one calculus textbook for one year. There is a fixed cost of $10 for each order. Find the lot size and the mumber of orders per year that will minimize inventory costs. ANSWER Answer: calculus textbooks per order orders per yearKhaled has developed a new technology device that is so exciting he is considering quitting his job in order to produce and market it on a large scale basis. Khaled will rent a small factory for 2,000dhs per month for production purposes. Utilities will cost 500dhs per month. Khaled has already taken an industrial design course at Dubal Men's College to help prepare for this venture. The course cost 800dhs, Khaled will rent production equipment at a monthly cost of 4,000dhs. He estimates the material cost per unit will be 20dhs, and the labor cost will be 10dhs per unit. He will hire workers and spend his time promoting the product. To do this he will quit his job which pays 20,000dhs per month. Advertising and promotion will cost 3,500dhs per month. Required: 1- 2. Calculate the total Fixed cost- 3 Calculate the total variable cost per unit 30 4- If the machine max production capacity is 1000 units per month, what is the selling price he should set to break even monthly- 5- If Khaled…