Questions in description

Question

a) Find the number of mattresses the manufacturer will make available in the market place if the unit price is set at $200/mattress. (Round your answer to the nearest integer.)

b) Use the result of part (a) to find the producers' surplus if the unit price is set at $200/mattress. (Round your answer to the nearest dollar.)

Producers' Surplus

 The manufacturer of a brand of mattresses will make x hundred units available in the market when the unit price is

p = 50 + 90e^0.06x

Answer 1

200 = 50 + 90e^0.06x

150 = 90e^0.06x

1.6667 = e^0.06x

ln 1.6667 = 0.06x

Can you solve for x and answer?