Bullseye Shirt Company makes three types of shirts: athletic, varsity, and surfer. The shirts are made from different combinations of two types of fabric, which are cotton and rayon. For simplicity, assume that one yard of fabric isused to make one shirt. The cost per yard of cotton is $5 and the cost per yard of rayon is $7.The table below shows relevant manufacturing information:ShirtFabric RequirementSelling PriceAthleticat least 60% cotton$30Varsityno more than 25% rayon$40Surferexactly 80% cotton$36Decision variables are defined as follows: xj = yards of fabric i used in shirt j where i = {c, r} and j= {a, v, s}.Fill in the blanks to complete the objective function for this linear programming model that maximizes the company's weekly profits.Max Z =Хса +Xcv +Xcs +Xra +Xrs

Decision Variable: Suppose- Xij be the yards of fabric of the ith ingredient used in the jth…

Answered: Bullseye Shirt Company makes three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...

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If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.
Wallace Company makes and sells a single product. Each unit of product requires two hours of labor with a wage rate of $8 per hour. The company has budgeted to sell 8,000 units and to produce 10,000 units during the current month. The product requires three pounds of material for each unit produced. Budgeted direct labor costs for the current month would be: $192,000 $128,000 $80,000 $64,000 $160,000
Hot Breads, a popular baker in Dhaka makes two types of cakes. To make one dozen ofpremium pound cake requires 3 kilos of flour, 1 kilo sugar, and 1 kilo butter. Making one dozenof our best requires 6 kilos of flour, 0.5 kilo of sugar, and 1 kilo of butter. Hot bread has in itsstock 150 kilograms of flour, 22 kilograms of sugar, and 27.5 kilograms of butter. The premiumcakes sell for 20 taka per dozen and our best sells for 30 taka per dozen. How many dozens ofeach cake Hot Breads should make to maximize revenue?a. Write the information given in the question in a tabular format.b. Write the problem in a linear programming format.c. Indentify the feasible zone.d. Find the revenue maximizing levels of production for scrapers and brushes.e. Is there any excess capacity in any machine?f. Find the amount of excess capacity.
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Can you show how to put it in Excel? XYZ store sells regular and premium nut mixes. Premium mix contains three quarters pound of cashews and one quarter of peanuts, and the regular mix has half pound of cashews and half pound peanuts per bag. The shop has 200 pounds of cashews and 300 pounds of peanuts to work with. Cashews cost $1.50 per pound, and peanuts cost 60 cents per pound. Premium mix will sell for $2.90 per pound, and the standard mix will sell for $2.55 per pound. The owner esimtes that no more than 200 bags of one types can be sold. What is the best combinations of products that maximizes profits? Make sure to create a feasible solution with countable number of products (no partials)
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The Deeper Furniture makes two products: table and chairs, which must be processed through the assembly and finishing departments. Assembly department is available for 60 hours and in every production period, while the finishing department is available for 48 hours of work. Manufacturing one (1) table requires 4 hours in the assembly and 2 hours in the finishing. Each chair requires 2 hours in the assembly and 4 hours in the finishing. One table contributes P180 to profit, while a chair contributes P100. The problem is to determine the number of tables and chairs to make per production period in order to maximize the profit. Determine the following: A. Define the objective function, formulate the constraints, and graph the system.B. Determine and write the feasible comer points and corresponding profit and the optimal solution. OWN SOLUTIONS FOR UPVOTE. DO NOT USE AI OR ELSE DOWNVOTE.
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Bibbins Manufacturing produces softballs and baseballs for youth recreation leagues. Each softball costs $11 to produce and sells for $17 while each baseball costs $10.50 and sells for $15. The material and labour required to produce each item is listed here along with the availability of each resource. Amount required par Amount Resource Softball Baseball Available Leather 5 oz 4 oz 6000 oz Nylon 6 yds 3 yds 5400 yds Core 4 oz 2 oz 4000 oz Labour 2.5 min 2 min 3500 min Stitching 1 min 1 min 1500 min Assessment Tasks: Answer all 2 questions below. Define the objective function and constraints for this case. Graphically show optimal solution and feasible area for the case
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Andretti Company has a single product called a Dak. The company normally produces and sells 88,000 Daks each year at a selling price of $64 per unit. The company’s unit costs at this level of activity are given below: Direct materials $ 9.50 Direct labor 9.00 Variable manufacturing overhead 2.30 Fixed manufacturing overhead 4.00 ($352,000 total) Variable selling expenses 4.70 Fixed selling expenses 2.50 ($220,000 total) Total cost per unit $ 32.00 A number of questions relating to the production and sale of Daks follow. Each question is independent. Due to a strike in its supplier’s plant, Andretti Company is unable to purchase more material for the production of Daks. The strike is expected to last for two months. Andretti Company has enough material on hand to operate at 25% of normal levels for the two-month period. As an alternative, Andretti could close its plant down entirely for the two months. If the plant were…

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