Related questions with answers
Solve the given linear programming problems.
A manufacturer produces a business calculator and a graphing calculator. Each calculator is assembled in two sets of operations, where each operation is in production 8 h during each day. The average time required for a business calculator in the first operation is 3 min, and 6 min is required in the second operation. The graphing calculator averages 6 min in the first operation and 4 min in the second operation. All calculators can be sold; the profit for a business calculator is $8, and the profit for a graphing calculator is$10. How many of each type of calculator should be made each day in order to maximize profit?
Solution
VerifiedLet us assume that are the number of business and graphing calculators. The first process takes 3 minutes for the business calculator and 6 minutes for the graphing calculator, and we have a total of 8 hours for this process in a day, so we can write
The second process takes 6 minutes for the business calculator and 4 minutes for the graphing calculator, and we have a total of 8 hours for this process in a day, so we can write
Also, the number of calculators cannot be negative, so we have the following two inequalities:
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