The weekly cost to produce x widgets is given by C(x)=15000 + 100x- 0.00004x^3 and the demand function for the
given P(x): 200 -0.005x
Determine the maginal revenue and maginal profit when 2500 widgets are sold and when 7500 widgets are sold assume that the company sells exactly what they produce

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

Solve 2 - 3 cos x = 5 + 3 cos x for 0° ≤ x ≤ 180° a. 150° b. 30° c. 60° d. 120°

Determine domain and range, largest open interval, and intervals which function is continuous.