Question

Slim city is a town resided by slim people, with no health club in town. LA Fatness has estimated that the annual demand for their Fatness Club in this town to be Q = 160 - P. Every Club member has a marginal cost of $40, and the annual fixed cost of the business is $500 (assume a linear cost function).

LA Fatness starts the first Fatness Club in town. What is the optimum price & membership quantity?