An auto company manufactures cars and trucks. Each vehicle must be processed in thepaint shop and body assembly shop. If the paint shop were only painting trucks, 40 per day could bepainted. If the paint shop were only painting cars, 60 per day could be painted. If the body shop wereonly producing cars, it could process 50 per day. If the body shop were only producing trucks, itcould process 50 per day. Each truck contributes $300 to profit and each car contributes $200 toprofit. In addition, the auto company can produce at most 30 trucks and 20 cars. The company wantsto determine the daily production schedule that will maximize the company's profit.a. Formulate the LP model for the problem. Don't forget to define explicitly the decision variables.b. Use graphical method to determine the optimal solution and the maximum profit.

1st we will formulate the Lp and then solve it graphically

Answered: An auto company manufactures cars and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Darius runs a store that sells fancy chocolates. Each batch ofBlack Hole Dark Truffles takes 12 ounces of cocoa and 6 ounces of cream. Each batch ofMint Cream Breezes requires 54 ounces of cocoa, and 2 ounces of cream. The store needs to immediately use 972 ounces of cocoa and 336 ounces of cream. If each batch ofBlack Hole Dark Truffles costs $15 in expenses, and each batch ofMint Cream Breezes costs $16, we want to know how many of each of the fancy chocolates Darius should have the store make to have the least expenses.Which of the following are the constraint(s) in this situation? A. 12c+6c≥97212c+6c≥972 B. B≥15B≥15 C. E=15B+16ME=15B+16M D. M≥16M≥16 E. 54c+2c≥33654c+2c≥336 F. 15B+16M≥3115B+16M≥31 G. 12B+54M≥97212B+54M≥972 H. 6B+2M≥336
If the owner of a burger stall pays $750 a month to rent his grill and $500 per month for a stall on the esplanade. Each burger costs $5 to make and sells for $15. How many burgers would she need to sell per month in order to make a profit?
There are 49,000 seats in a stadium divided into three levels: lower level, club level, and upper level. The number of seats in the lower level and club levels combined equals the number of seats in the upper level. Club level seats sell for $412, lower level seats sell for $162, and upper level seats sell for $107. When the stadium is completely full, the revenue is $9,115,500. If there are 14,400 seats in the lower level, how many seats are in each of the other two levels?
You have a bag of poker chips, containing 2 white, 1 red, and 3 blue chips. White chips are worth $5, red chips are worth $10 and blue chips are worth $20. You need $20 worth of chips in order to see someone's raise, so you take chips out of the bag one at a time, noting the color of each one as it's removed, and stop when the total value of the chips removed is at least $20. How many sequences of chip colors are possible when you do this? (A) 0 (В) 9 (С) 5 (D) 10 (E) 3 (F) 11 (G) 8 (Н) 7
.
Chris is buying travel-sized items for his upcoming vacation. He buys shampoo, toothpaste, and mouthwash. Shampoo costs $1.25, toothpaste costs $0.95, and mouthwash costs $0.99. Chris buys three total items and pays with a $10.00 bill. He receives 4 dollar bills, 2 quarters, 1 nickel, and 2 pennies back in change. How many of each type of travel sized items did Chris buy? Show your work in the box below. Write at least three sentences explaining how I found my answer. What did I do first, second, and last? How did I decide which combinations to try first? How did I track my work? What strategies did I use to solve the problem?
A group of three friends have 3 different jobs. Mallory(m) makes $9 an hour at Kroger, Chandler(c) makes $11 at HEB, and Sophia(s) makes $8 at Cinemark. All together they worked a total of 40 hours and earned $370. Mallory worked twice as many hours as Chandler. How many hours did each friend work?
both sheets are for the same problem.
Each week at a furniture factory, 2000 work hours are available in the construction department, 1400 workhours in the painting department, and 1300 work hours in the packing department. Producing a chairrequires 2 hours of construction, 1 hour of painting, and 2 hours for packing. Producing a table requires 4hours of construction, 3 hours of painting, and 3 hours for packing. Producing a chest requires 8 hours ofconstruction, 6 hours of painting, and 4 hours for packing. If all available time is used in every department,how many of each item is produced each week? Do not solve this problem, just write the augmentedmatrix associated with this problem. Specify each variable used in the equation.

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