Question 890811: A florist designs two high-profit arrangements— a funeral wreath and a bridal centerpiece. The company’s employees can complete up to 18 arrangements each day using up to 33 total person-hours of labor. It takes 4 person-hours to complete 1 funeral wreath, and 1 person-hour to complete 1 bridal centerpiece. How many of each type of arrangements should the florist produce daily for maximum profit, if the profit on a funeral wreath is $75 and the profit on a bridal centerpiece is $48?
Number of bridal centerpieces?
Number of funeral wreaths?
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! PC language really has gone much too far calling it a "person-hour". Ridiculous.
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There are a possible 33 man-hours of labor.
4 hours to make a wreath yields $75 in profit, or $18.75 per man-hour
1 hour to make a centerpiece that yields $48 in profit, or $48 per man-hour
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It's pretty clear where most of the labor should go.
18 centerpieces = $864 with 15 man-hours wasted
17 centerpieces = $816 + 1 wreath = $891 with 12 man-hours wasted.
16 centerpieces = $768 + 2 wreaths = $918 with 9 man-hours wasted.
15 centerpieces = $720 + 3 wreaths = $945 with 6 man-hours wasted.
14 centerpieces = $672 + 4 wreaths = $972 with 3 man-hours wasted.
13 centerpieces = $624 + 5 wreaths = $999
9 centerpieces = $432 + 6 wreaths = $732
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Once you make more than 5 wreaths, you're not using the employees to their maximum profit.
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