
Concept explainers
a)
To find:the profit per unit matrix.
a)

Answer to Problem 87E
B=[$3.50$6.00]
Explanation of Solution
Given information:
A farmer grows apples and peaches.Each crop is shipped to three different outlets. Theshipment levels are represented by A .
Grower earns $3.50 profits per unit of apples and $6.00 profits per unit peaches.
Calculations:
Grower earns $3.50 profits per unit of apples and $6.00 profits per unit peaches.
If the profit is arranged in a matrix it will be of dimension 1×2 .
The profit per unit can be represented by the matrix B=[$3.50$6.00]
b)
To find: BA and interpret the result.
b)

Answer to Problem 87E
BA=[1037.514001012.5] .
The entries represent the profits from both crops at each of three outlets.
Explanation of Solution
Given information:
A farmer grows apples and peaches.Each crop is shipped to three different outlets. Theshipment levels are represented by A .
The profit per unit are represented by the matrix B=[$3.50$6.00] .
Concept used:
The product of matrix A and B exist only if the number of columns in matrix A is equal to the number of rows in matrix B .
Calculations:
Now, calculate the product BA as shown:
BA=[3.506.00][12510075100175125]=[3.50×125+6.00×1003.50×100+6.00×1753.50×75+6.00×125]=[1037.514001012.5]
Conclusion:
Thus, the entries represent the profits from both crops at each of three outlets.
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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