Hiromi sells 12 T-shirts each week at a price of $13.00. Past sales have shown that for every $0.25 decrease in price, 4 more T-shirts are sold. Knowing that revenue is a product of price and quantity, Hiromi models his revenue by R (x) = (13 - 0.25x) (12 + 4x), where x represents the number of times there is a reduction in price.

Question: What is the maximum revenue Hiromi can generate each week? Show work.

Question

Mathematics

Dodson

15 March, 04:54

Hiromi sells 12 T-shirts each week at a price of $13.00. Past sales have shown that for every $0.25 decrease in price, 4 more T-shirts are sold. Knowing that revenue is a product of price and quantity, Hiromi models his revenue by R (x) = (13 - 0.25x) (12 + 4x), where x represents the number of times there is a reduction in price.

Question: What is the maximum revenue Hiromi can generate each week? Show work.

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Answers (1)

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Emilia · Answer 1

(13-0.25x4) (12+4x4) = 2,464

(13-0.25x5) (12+4x5) = 3,845

(13-0.25x6) (12+4x6) = 2,845

so your answer is 3,845 because if Hirome sells them for $11.75 he makes $3845 if Hirome sold them for $11.50 he makes $2845.80 and if he sold them for $12.00 he would make $2464.00