Operations Management
14th Edition
ISBN: 9781260238891
Author: Stevenson
Publisher: MCG
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Chapter 19, Problem 13P
Summary Introduction
To determine: The number of units of each product on a daily basis to achieve the maximum profit.
Introduction:
Linear programming:
Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.
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Students have asked these similar questions
Manufacturing Aggregate Planning
Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6.
a.) Compute the costs of the Chase Demand Strategy.
b.) Compute the costs of the Level Strategy
c.) Compare the costs of the two strategies. Which one is superior?
Box Electric makes electronic components and has estimated the following for a new design of one of its products.
Fixed cost = $24,975
Material cost per unit = $0.17
Labor cost per unit = $0.12
Revenue per unit = $0.66
Note that fixed cost is incurred regardless of the amount produced. Per-unit material and labor cost together make up the variable cost per unit. Assuming that Box Electric sells all that it produces, profit is calculated by subtracting the fixed cost and total variable cost from total revenue.
Construct an appropriate spreadsheet model to find the profit based on a given production level and use the spreadsheet model to answer these questions.
(a)
Construct a one-way data table with production volume as the column input and profit as the output. Breakeven occurs when profit goes from a negative to a positive value; that is, breakeven is when total revenue = the total cost, yielding a profit of zero. Vary production volume from 0 to 100,000 in increments of 10,000.…
Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6.
a.) Compute the costs of the Chase Demand Strategy.
b.) Compute the costs of the Level Strategy
c.) Compare the costs of the two strategies. Which one is superior?
Chapter 19 Solutions
Operations Management
Ch. 19 - For which decision environment is linear...Ch. 19 - What is meant by the term feasible solution space?...Ch. 19 - Explain the term redundant constraint.Ch. 19 - Prob. 4DRQCh. 19 - Prob. 5DRQCh. 19 - Prob. 6DRQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - A small candy shop is preparing for the holiday...
Ch. 19 - A retired couple supplement their income by making...Ch. 19 - Solve each of these problems by computer and...Ch. 19 - Prob. 7PCh. 19 - For Problem 6b: a. Find the range of feasibility...Ch. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - Prob. 11PCh. 19 - The manager of the deli section of a grocery...Ch. 19 - Prob. 13PCh. 19 - A chocolate maker has contracted to operate a...Ch. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - Prob. 1.1CQCh. 19 - Prob. 1.2CQCh. 19 - Prob. 1.3CQCh. 19 - Prob. 2.1CQCh. 19 - Prob. 2.2CQCh. 19 - Prob. 2.3CQCh. 19 - Prob. 2.4CQ
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