A manufacturer produces two of a gas grill. Grill A requires 1 hr for assembly and 0.4 hr for packaging. Grill B requires 1.2 hr for assembly and 0.6 hr for packaging. The production information and profit for each grill are given in the table. (See Example 4 )
Assembly | Packaging | Profit | |
---|---|---|---|
Grill A | 1 hr | 0.4 hr | $90 |
Grill B | 1.2 hr | 0.6 hr | $120 |
The manufacturer has 1200 hr of labor available for assembly and 540 hr of labor available for packaging.
a. Determine the number of grill A units and the number of grill B units that should be produced to maximize profit assuming that all grills will be sold.
b. What is the maximum profit under these constraints?
c. If the profit on grill A units is $110 and the profit on grill B units is unchanged, how many of each type of grill unit should the manufacturer produce to maximize profit?
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College Algebra (Collegiate Math)
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