PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter 7.4, Problem 38E
Solution
To calculate: The number of units of each food substance should she purchase in order to minimize cost and the minimum cost.
Given Information:
Mary's diet is to contain at least 24 units of carbohydrates and 16 units of protein. Food substance A costs $1.40 per unit and each unit contains 3 units of carbohydrates and 4 units of protein. Food substance B costs $0.90 per unit and each unit contains 2 units of carbohydrates and 1 unit of protein.
Calculation:
Consider the given information,
Write the constraints as a system of inequalities using the given information.
Write the objective function by using the given information.
Use the graphing calculator to draw the inequality and find the corner points.
The corner points are
Now, find the value of the objective function on corner points.
Substitute 0 for x and 16 for y in the objective function.
Substitute
Substitute 8 for x and 0 for y in the objective function.
The minimum value is
As the feasible region is unbounded and has
Purchasing
Therefore,
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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