Suppose the total benefit derived from a given decision, Q, is B(Q) 25Q Q2 and the corresponding total cost is C(Q) 5 Q2 , so that MB(Q) 25 2Q and MC(Q) 2Q. a. What is total benefit when Q 2? Q 10? b. What is marginal benefit when Q 2? Q 10? c. What level of Q maximizes total benefit? d. What is total cost when Q 2? Q 10? e. What is marginal cost when Q 2? Q 10? f. What level of Q minimizes total cost? g. What level of Q maximizes net benefits?

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Aquatic marine stores company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. aquatic uses standard costs to prepare its flexible budget. for the first quarter of the year, direct materials and direct labor standards for one of their popular products were as follows: direct materials: 3 pounds per unit; $ 6 per pound direct labor: 4 hours per unit; $ 19 per hour during the first quarter, aquatic produced 5 comma 000 units of this product. actual direct materials and direct labor costs were $ 65 comma 000 and $ 330 comma 000, respectively. for the purpose of preparing the flexible budget, calculate the total standard direct materials cost at a production volume of 5 comma 000 units.

Hilary works at klothes kloset. she quickly the customers, and her cash drawer is always correct at the end of her shift. however, she never tries to "upsell" the customers (for example, by asking if they would like to purchase earrings to go with the shirt they chose or by suggesting a purse that matches the shoes they are buying). give hilary some constructive feedback on her performance.