solve for me pls :) ........tf

Mathematics
Tutor: None Selected Time limit: 1 Day

The market demand for a certain product is units when the price charged to q consumers is p dollars, where 15p+2q=720. The cost(in dollars) of producing q units is given by c(q)= 200 +6q. What a maximum profit.
Dec 6th, 2014

 c(q) = 200 + 6q

15p + 2q = 720 ............1

Let

200 + 6q = 0

q = - 200/6

Now put the value of q in 1 , we get

15p + 2(- 200/6) = 720

15p - 200/3 = 720

Now multiply by 3 on both sides, we get

15p - 200/3 = 720

3 * 15p - 200 = 3 * 720

45p - 200 = 2160

45p = 2160 - 200

45p = 1960

p = 1960/45

p = 43.55

Or 

p = 44 dollars

Dec 6th, 2014

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