A manufacturer of golf clubs makes a profit of $50 per set on a model A set and $55 per set on a model B set. Daily production of the Model A clubs is between 20 and 50 sets, inclusive, and that of the model B clubs is between 10 and 30 sets, inclusive. The total daily production is not to exceed 50 sets. How many sets of each model should be manufactured per day to maximize the profit?

Question

Sharon Avery

Mathematics

3 May, 05:31

A manufacturer of golf clubs makes a profit of $50 per set on a model A set and $55 per set on a model B set. Daily production of the Model A clubs is between 20 and 50 sets, inclusive, and that of the model B clubs is between 10 and 30 sets, inclusive. The total daily production is not to exceed 50 sets. How many sets of each model should be manufactured per day to maximize the profit?

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Jayson Shah · Answer 1

30 sets of model B 20 sets of model A

Step-by-step explanation:

To maximize profit, the greatest possible number of the most profitable item should be manufactured. Remaining capacity should be used for the less-profitable item.

Up to 30 of model B, which has the highest profit, can be made each day. The remaining amount (20 sets) of the daily capacity of 50 sets should be used to make model A sets.