Concept explainers
To find:The pounds of each seed mixture to obtain 200 pounds of custom-blend bird seed costing 0.95 dollars per pound.
Answer to Problem 5CLT
To obtain the required mixture, 120 pounds of mixture costing 0.75 dollars per pound and 80 pounds of mixture costing 1.25 dollars per pound is used.
Explanation of Solution
Given:
The two types of seeds mixtures are 0.75 dollars per pound and 1.25 dollars per pound.
The required mixture is 200 pounds costing 0.95 dollars per pound.
Calculation:
Let
Based on the giveninformation, following two equations are obtained:
By the method of elimination for solving a system, first multiply equation (1) by -1.25 and add to equation (2), as shown below:
Substitute the value of
So, 120 pounds of mixture costing 0.75 dollars per pound and 80 pounds of mixture costing 1.25 dollars per pound is used to obtain the required mixture.
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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