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MAXIMIZING PROFIT A company manufactures three products, A , B , and C , on two machines, I and II. It has been determined that the company will realize a profit of $ 4 / unit of Product A , $ 6 / unit of Product B , and $ 8 / unit of Product C . Manufacturing a unit of Product A requires 9 min on Machine I and 6 min on Machine II; manufacturing a unit of Product B requires 12 min on Machine I and 6 min on Machine II; manufacturing a unit of Product C requires 18 min on Machine I and 10 min on Machine II. There are 6 hr of machine time available on Machine I and 4 hr of machine time available on Machine II in each work shift. How many units of each product should be produced in each shift to maximize the company’s profit? What is the maximum profit?

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Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
Publisher: Cengage Learning
ISBN: 9781337405782
BuyFind

Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
Publisher: Cengage Learning
ISBN: 9781337405782

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Chapter
Section
Chapter 4.CRE, Problem 25CRE
Textbook Problem

MAXIMIZING PROFIT A company manufactures three products, A , B , and C , on two machines, I and II. It has been determined that the company will realize a profit of $ 4 / unit of Product A , $ 6 / unit of Product B , and $ 8 / unit of Product C . Manufacturing a unit of Product A requires 9 min on Machine I and 6 min on Machine II; manufacturing a unit of Product B requires 12 min on Machine I and 6 min on Machine II; manufacturing a unit of Product C requires 18 min on Machine I and 10 min on Machine II. There are 6 hr of machine time available on Machine I and 4 hr of machine time available on Machine II in each work shift. How many units of each product should be produced in each shift to maximize the company’s profit? What is the maximum profit?

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Chapter 4 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences
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Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 1731, solve each linear programming...Ch. 4.1 - In Exercise 1731, solve each linear programming...Ch. 4.1 - In Exercise 1731, solve each linear programming...Ch. 4.1 - In Exercise 1731, solve each linear programming...Ch. 4.1 - Rework Example 3 using the y-column as the pivot...Ch. 4.1 - Show that the linear programming problem Maximize...Ch. 4.1 - PRODUCTION SCHEDULING A company manufactures two...Ch. 4.1 - Production Scheduling National Business Machines...Ch. 4.1 - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 4.1 - ASSETALLOCATION Justin has decided to invest at...Ch. 4.1 - ASSET ALLOCATION A financier plans to invest up to...Ch. 4.1 - PRODUCTION SCHEDULING A division of the Winston...Ch. 4.1 - CROP PLANNING A farmer has 150 acres of land...Ch. 4.1 - PRODUCTION SCHEDULING A company manufactures...Ch. 4.1 - ASSET ALLOCATION Ashley has earmarked at most...Ch. 4.1 - PRODUCTION SCHEDULING Ace Novelty manufactures...Ch. 4.1 - OPTIMIZING ADVERTISING EXPOSURE As part of a...Ch. 4.1 - PRODUCTION SCHEDULING Custom Office Furniture is...Ch. 4.1 - OPTIMIZING PROFIT FOR PREFABRICATED HOUSING Boise...Ch. 4.1 - ASSET ALLOCATION Sharon has a total of 200,000 to...Ch. 4.1 - OPTIMIZING PROFIT FOR BLENDED JUICE DRINKS...Ch. 4.1 - OPTIMIZING PROFIT FOR COLD FORMULAS Beyer...Ch. 4.1 - ASSET ALLOCATION A financier plans to invest up to...Ch. 4.1 - Consider the linear programming problem Maximize...Ch. 4.1 - In Exercises 52-55, determine whether the...Ch. 4.1 - In Exercises 52-55, determine whether the...Ch. 4.1 - In Exercises 52-55, determine whether the...Ch. 4.1 - In Exercises 52-55, determine whether the...Ch. 4.1 - Solve the linear programming problems. Maximize...Ch. 4.1 - Solve the linear programming problems. Maximize...Ch. 4.1 - Solve the linear programming problems. Maximize...Ch. 4.1 - Solve the linear programming problems. Maximize...Ch. 4.2 - Suppose you are given the linear programming...Ch. 4.2 - Give three characteristics of a standard...Ch. 4.2 - What is the primal problem associated with a...Ch. 4.2 - a. What does the fundamental theorem of duality...Ch. 4.2 - In Exercises 16, use the technique developed in...Ch. 4.2 - In Exercises 16, use the technique developed in...Ch. 4.2 - In Exercises 16, use the technique developed in...Ch. 4.2 - In Exercise 16, use the technique developed in...Ch. 4.2 - In Exercise 16, use the technique developed in...Ch. 4.2 - In Exercise 16, use the technique developed in...Ch. 4.2 - In Exercise 710, you are given the final simplex...Ch. 4.2 - In Exercise 710, you are given the final simplex...Ch. 4.2 - In Exercise 710, you are given the final simplex...Ch. 4.2 - In Exercise 710, you are given the final simplex...Ch. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - MINIMIZING CRUISE LINE COSTS Deluxe River Cruises...Ch. 4.2 - FERTILIZER COSTSA farmer uses two types of...Ch. 4.2 - DIET PLANNING The owner of the Health Juice Bar...Ch. 4.2 - OPTIMIZING ADVERTISING EXPOSURE Everest Deluxe...Ch. 4.2 - MINIMIZING SHIPPING Cons Acrosonic manufactures a...Ch. 4.2 - MINIMIZING SHIPPING COSTS Singer Motor Corporation...Ch. 4.2 - MINIMIZING OIL REFINERY COSTS An oil company...Ch. 4.2 - In Exercises 28 and 29, determine whether the...Ch. 4.2 - In Exercises 28 and 29, determine whether the...Ch. 4.2 - In Exercise 14, solve the linear programming...Ch. 4.2 - In Exercise 14, solve the linear programming...Ch. 4.2 - In Exercise 14, solve the linear programming...Ch. 4.2 - In Exercise 14, solve the linear programming...Ch. 4.3 - Explain why the following linear programming...Ch. 4.3 - Explain why the following linear programming...Ch. 4.3 - Explain why the following linear programming...Ch. 4.3 - In Exercises 14 rewrite each liner programming...Ch. 4.3 - In Exercises 14 rewrite each liner programming...Ch. 4.3 - In Exercises 14 rewrite each liner programming...Ch. 4.3 - In Exercises 14 rewrite each liner programming...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520 Use the method of this section to...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520 Use the method of this section to...Ch. 4.3 - In Exercises 520 Use the method of this section to...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520 Use the method of this section to...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - MAXIMIZING INVESTMENT RETURNS Natsano has at most...Ch. 4.3 - VETERINARY SCIENCE A veterinarian has been asked...Ch. 4.3 - ALLOCATION OF FUNDS The First Street branch of...Ch. 4.3 - CROP PLANNING A farmer has 150 acres of land...Ch. 4.3 - PRODUCTION SCHEDULING A company manufactures...Ch. 4.3 - TRANSPORTATION The Green Company manufactures an...Ch. 4.3 - DIET PLANNING A nutritionist at the Medical Center...Ch. 4.3 - MINIMIZING SHIPPING COSTS Steinwelt Piano...Ch. 4.CRQ - Fill in the blanks. In a standard maximization...Ch. 4.CRQ - Fill in the blanks: In setting up the initial...Ch. 4.CRQ - Fill in the blanks: In a standard minimization...Ch. 4.CRQ - Fill in the blanks. The fundamental theorem of...Ch. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - Suppose that the primal problem for a linear...Ch. 4.CRE - Construct the dual problem associated with the...Ch. 4.CRE - Minimize Subject to C=3x+2y 2x+3y62x+y4x0,y0Ch. 4.CRE - Minimize Subject to C=x+2y 3x+y12x+4y16x0,y0Ch. 4.CRE - Minimize subject to C=24x+18y+24z...Ch. 4.CRE - Minimize Subject to C=4x+2y+6z...Ch. 4.CRE - Maximize Subject to P=3x4y x+y45x2y10x0,y0Ch. 4.CRE - . 16.Minimize Subject to C=2x+3y...Ch. 4.CRE - Maximize Subject to P=2x+3y 2x+5y20x+5y5x0,y0Ch. 4.CRE - 18.Minimize Subject to C=3x4y...Ch. 4.CRE - MINIMIZING MINING COSTS Perth Mining Company...Ch. 4.CRE - MINIMIZING RIVER CRUISE COSTS Nordic River Cruises...Ch. 4.CRE - PRODUCTION SCHEDULING Acoustical Company...Ch. 4.CRE - PRODUCTION SCHEDULING Wayland Company manufactures...Ch. 4.CRE - MINIMIZING CITY WATER COSTS The water-supply...Ch. 4.CRE - INVESTMENT ANALYSIS Jorge has decided to invest at...Ch. 4.CRE - MAXIMIZING PROFIT A company manufactures three...Ch. 4.CRE - INVESTMENT ANALYSIS Sandra has at most 200,000 to...Ch. 4.BMO - Consider the following linear programming problem....Ch. 4.BMO - The following simplex tableau is in final form....Ch. 4.BMO - Using the simplex method, solve the following...Ch. 4.BMO - Using the simplex method, solve the following...Ch. 4.BMO - Using the simplex method, solve the following...

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