A manufacturing company makes two types of water skis, a trick ski and a slalom

Question

A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table Labor-Hours per Ski Maximum Labor-Hours Available per Day 384 36 Department Fabricating Finishing Trick Ski 12 Slalom Ski If the profit on a trick ski is $50 and the profit on a slalom ski is $30, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $The maximum occurs when rick skis andslalom skis are produced

Explanation / Answer

Here profit on trick ski is $50 which is a lot more than profit of $30 on Sialom Ski. But at the same time labour hours is more on Trick ski. Also the maximum finishing labour hours is 36 and 1 labour hour each is required to finish each ski. Therefore maximum 36 units ski may be produced. So the combination on which max profit can be earned will be:-

Thus, to maximise the profit 32 units of Trick Ski and 0 units of Sialom ski should be produced.

The max dollars that can be earned is $1600.

Pls rate the answer and let me know in case you need any further clarification.

Combination No. of Trick Ski (profit $50) No. of Sialom Ski (profit $30) Total profit in dollars 1. 32 0 1600 2. 30 3 1590 3. 28 6 1580 4. 26 9 1570 5. 24 12 1560 6. 0 36 1080

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