A travel agency will plan a tour for groups of size or 48 or

A travel agency will plan a tour for groups of size or 48 or larger. If the group contains exactly 48 people, the price is 800 per person. However, each person\'s price is reduced by $10 for each additional person above the 48. If the travel agency incurs a price of $100 per person for the tour, what size group will give the agency the maximum profit?

Solution

$800 is the price per person for 48+1 th person price is 790 for 48+70 the price is 800-700 = 100 so he will get profit until 118 people so group size is 118
A travel agency will plan a tour for groups of size or 48 or larger. If the group contains exactly 48 people, the price is 800 per person. However, each person\

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