Jasmine builds tool sheds. She uses 10 sheets of drywall and 15 studs for a small shed and 15 sheets ofdrywall and 45 studs for a large shed. She has available 60 sheets of dry wall and 135 studs. If Jasminemakes $390 profit on a small shed and $520 profit on a large shed, how many of each type of buildingshould she build to maximize her profit?

Answered: Image /qna-images/answer/671df056-4ef4-4e5d-a661-0d9f5a40c9e7.jpg

Answered: Jasmine builds tool sheds. She uses 10…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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After helping his neighbor mow lawns, Joe decides to start his own lawn service business. He decides to start off on a small scale until he has builds up a customer base. Joe calculates his costs to be $4,880 which includes a John Deere riding mower, a leaf blower, edger and weed eater, and miscellaneous yard tools. He figures that it will cost approximately $9 to mow each lawn and will charge on average $70 to each customer. Let x be the number of lawns mowed. (a) Write the revenue function. (b) Write the cost function. (c) Joe must mow how many lawns to break even? (d) State the cost and the revenue at the break-even point. The revenue and the cost at the break-even point are both equal to what in dollars?
A company has $12,890 available per month for advertising. Newspaper ads cost $190 each and can't run more than 22 times per month. Radio ads cost $590 each and can't run more than 30 times per month at this price. Each newspaper ad reaches 5950 potential customers, and each radio ad reaches 7400 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements . Maximize P = subject to < 22 < 30 < $12, 890 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the nearest whole person. Number of Newspaper ads to run is Number of Radio ads to run is Maximum target group exposure is рeople
Rrr
The Callaghan family owns 410 acres of farmland in Co. Cork on which they grow wheat and oats. Each acre of wheat costs €105 to plant, cultivate, and harvest; each acre of oats costs €210. The Bradleys have a budget of €52,500 for next year. The government limits the number of acres of oats that can be planted to 100. The profit from each acre of wheat is €300; the profit from each acre of oats is €520. The Callaghans want to know how many acres of each crop to plant in order to maximize their profit. iii. Represent the problem in graphical format and highlight the feasible region.
A toy factory creates miniature steel train engines and box cars. The fabrication department has 3,679 minutes available per week and the assembly and finishing department has 3,099 minutes available per week. Manufacturing one miniature steel train engine requires 8 minutes of fabrication and 5 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 4 minutes of fabrication and 5 minutes of assembling and finishing. The profit on each miniature steel train engine is $8.00 and the profit on each miniature steel box car is $7.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum profit? Find the maximum weekly profit. (Use x for box car and y for train engine.) Maximize P subject to %3D < 3, 679 < 3, 099 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round toys…
school is having an sports event. each fake hair cost 10$ and sells at 13$, take away 2inches of table . each candle box cost 4$ and sells at 12$, takes 6inches of table. each golf cap cost 10$ and sells at 24$, and takes away 10 inches of the table. The table is 60inches long and 30inches wide. the total budget is 4000 dollars. How to maximize the profit.
.
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit? b) Generate the Sensitivity Report for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.
Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of Super- Fit takes 12 minutes to cut and 30 minutes to sew and finish. Each pair of Super-Hug takes 12 minutes to cut and 40 minutes to sew and finish. The plant has enough workers to provide at most 12,599 minutes per day for cutting and at most 37,999 minutes per day for sewing and finishing. The profit on each pair of Super-Fit is $6.00 and the profit on each pair of Super-Hug is $7.00. How many pairs of each style should be produced per day to obtain maximum profit? Find the maximum daily profit. (Use x for Super-Fit and y for Super-Hug.) Maximize P = < 12,599 ≤37,999 Maximum profit is $ subject to Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round jeans to 1 decimal place and profit to 2 decimal places. Number of Super-Fit jeans to…
both sheets are for the same problem.

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