Loose-leaf for Operations Management (The Mcgraw-hill Series in Operations and Decision Sciences)
12th Edition
ISBN: 9781259580093
Author: William J Stevenson
Publisher: McGraw-Hill Education
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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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Because of its labor contract, a company must hire enough labor for 100 units ofproduction per week on one shift or 200 units per week on two shifts. It cannot hire,lay off, or assign overtime. During the fourth week, workers will be available fromanother department to work part or all of an extra shift (up to 100 units). There is aplanned shutdown for maintenance in the second week, which will cut production tohalf. Develop a production plan. The opening inventory is 200 units, and the desiredending inventory is 300 units
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.…
Cox Electric makes electronic components and has estimated the following for a new design of one of its products.
Fixed cost = $23,750
Material cost per unit = $0.17
• Labor cost per unit = $0.12
• Revenue per unit = $0.67
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 Cox 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.…
Chapter 19 Solutions
Loose-leaf for Operations Management (The Mcgraw-hill Series in Operations and Decision Sciences)
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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