4. Each coffee table produced by Kevin Watson Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Watson's firm is small, and its resources limited. During any given production period (of 1 week), 10 gallons of varnish and 12 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood. Formulate Watson's production-mix decision as a linear programming problem and solve. How many tables and bookcases should be produced each week? What is the maximum profit?

4. Each coffee table produced by Kevin Watson Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Watson's firm is small, and its resources limited. During any given production period (of 1 week), 10 gallons of varnish and 12 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood. Formulate Watson's production-mix decision as a linear programming problem and solve. How many tables and bookcases should be produced each week? What is the maximum profit?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Similar questions

30) XYZ Company The XYZ Company uses 175 handles per day. The company operates 300 days per year. It costs $2.00 to carry one handle in inventory for one year. When handle inventory is low, an order is sent to the fabrication department to manufacture more handles. Fabrication can produce handles at a rate of 1500 per day and send the handles over to assembly while production is in progress. The setup for each production run costs $500. Assume the XYZ company orders 9,000 handles at a time (not necessarily the economic order quantity). The order receipt period = _____ days. Group of answer choices a) 6.0 b) 5.8 c) 30.0 d) 51.4 e) 50.0
8. Cebrero Company makes 6,000 bottles of avocado shake every day. Each bottle size up to 50 gramsand contains 50% content mixture of avocados. How many kilos of avocado does the company needsevery day to suffice the production?
Mr. Robertson owns a store. His mark-up percentage is 80%. He is also VAT registered, VAT is 15% of the selling price. Mr. Robertson buys handbags at R108 each, what is the selling price of these bags excluding VÁT? 2.1 2.2 How much profit would he earn selling 25 bags? | 2.3 Calculate the selling price of one handbag including VAT. 2.4 Mr. Robertson hires a new assistant. She calculates that a pair of shoes that is bought for R850 should be sold for R1572,50 excluding VAT. State, with calculations, whether her mark-up percentage was correct. 2.5 Mr. Robertson sells a pair of jeans for R459,99 excluding VAT. Calculate the cost price before the mark-up.
Mazoon Company sells 500 units resulting in $150,000 of sales revenue, $50,000 of variable costs, and $36,000 of :fixed costs. Breakeven point in units is None of the given answers .a O units 180 b O units 300 .c O units 72 d O units 100 .e O
Explain briefly a) Efficient Production b) Inefficient Production c) What causes NPV to increase
Q1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. (b) Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method.
1) Antonio is the RM at the 180-room Hawthorne Suites. Disappointed in his occupancy rate last year, he decided to reduce his room rates this year by 10 percent to help increase sales and improve his RevPAR. This action resulted in an upswing in occupancy, from 75 percent last year, to 85 percent this year; an increase of 13.3 percent.Last year, Antonio’s controllable operating costs were $61.00 per room. This year, they rose to $62.00 per room, an increase of only 1.6 percent. Help Antonio better understand the overall results of his rate reduction strategy by completing his hotel’s May operating performance worksheet and then answering the questions that follow. Statistics Last May This May Occupancy % 75% 85% Rooms Sold ADR $129.99 $116.99 Rooms Revenue RevPAR Controllable operating cost Gross operating profit GOPPAR 2) Paige Vincent is the RM at the City Center Novotel. For over 12 months, she has been working hard to improve the…
d) A company can produce three products A, B and C. the products yield a contribution of Kshs.8, 5 and 10 respectively. The products use a machine which has 400 hours capacity. Each unit of the product uses 2, 3 and 1 hour respectively of the machines capacity. There are only 150 units available in the period of a special component which is used singly in product A and C. Only 200kgs of a special alloy is available in the period. The usage of special alloy is 2kgs per unit and 4kgs per unit respectively. There is an agreement with a trade association to produce no more than 50 units of product B in the period. Advise the company on the production plan that will maximize contribution.
2. The idea of assigning numerical values to determine a preference ordering over a set of ob- jects is not limited in application to commodity bundles. The Bill James Baseball Abstract argues that a baseball player's batting average is not an adequate measure of his offensive productivity. Batting averages treat singles just the same as extra base hits. Furthermore they do not give credit for "walks," although a walk is almost as good as a single. James argues that a double in two at-bats is better than a single, but not as good as two singles. To reflect these considerations, James proposes the following index, which he calls "runs created." Let A be the number of hits plus the number of walks that a batter gets in a season. Let B be the number of total bases that the batter gets in the season. (Thus, if a batter has S singles, W walks, D doubles, T triples, and H home runs, then A= S + D + T + H+W and B = S +W +2D +3T +4H.) Let N be the number of times the batter bats. Then his…
A company manufactures hair dryers. It buys some of the components, but it makes the heatingelement, which it can produce at the rate of 800 per day. Hair dryers are assembled daily, 250 daysa year, at a rate of 300 per day. Because of the disparity between the production and usage rates,the heating elements are periodically produced in batches of 2,000 units.a. Approximately how many batches of heating elements are produced annually?b. If production on a batch begins when there is no inventory of heating elements on hand, howmuch inventory will be on hand two days later?c. What is the average inventory of elements, assuming each production cycle begins when thereare none on hand?d. The same equipment that is used to make the heating elements could also be used to makea component for another of the firm’s products. That job would require four days, includingsetup. Setup time for making a batch of the heating elements is a half day. Is there enough timeto do this job between production…
Mary hopes to sell 10,000 pieces of chrysanthemum last November but she was able to sell 15,000 chrysanthemum. Her chrysanthemum is sold at 20 pesos each. Her total expenses was 150,000, hence, cost per unit is 15.00. What was her sales volume? * 300,000 150,000 10,000 O 25,000 O 15,000
Minimize z= 5.15x1+ 4.5x2 + 4.36x3 (hundreds of dollars) s.t: ?x1 + ?x2 + ?x3 > 140 ?x1 + ?x2 + ?x3 s 200 (production capacity: hours) (warehouse capacity; hundreds of sq. ft.) ?x1+?x2 = 5 (demand for 6 oz. giasses; hundreds of cases) x1, x2, x3 20 4.5X2 -1.25 Basis Св 5X1 4.36X3 S1 S2 a3 RHS -0.75 10.7 X3 1. 4.36 -0.13 11.25 1.25 -2.5 11.5 S2 0.1 X1 5.15 C-Z How much is it worth an extra hour added to b1 on the optimal solution?