To find: the number of sweatshirt and sweatpants in order to have maximum profit.
Answer to Problem 51E
Number of sweatshirts = 40
Number of sweatpants = 40
Explanation of Solution
Given information:
Let the sweatshirts and sweatpants be
Clothing | Cutting | Sewing | Fabric |
Shirts | 1 hour | 2.5 hours | 1.5 yards |
Pants | 1.5 hours | 2 hours | 3 yards |
The set of inequalities for the given problems is shown below.
The profit function is as follows:
Calculation:
First graph the inequalities with the help of graphing calculator and the shade the common region as shown below.
Put each vertex i.e.
Thus, the number of sweatshirt and sweatpants in order to have maximum profit is 40 each.
Chapter 7 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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