Suppose you are the marketing manager for Fruit of the Loom. An individual's inverse demand for Fruit of the Loom women's underwear is estimated to be P = 25 − 3Q (in cents). If the cost to Fruit of the Loom to produce an item of women's underwear is C(Q) = 1 + 4Q (in cents), compute the profit Fruit of the Loom will earn by charging the optimal block price. a. $108.50 b. $0.73 c. $1.37 d. $136.50

Widget Sales Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions: p(x)=60-1.20x C(a) = 210 + 12x |R(x) = xp(x) = x(60 - 1.20x) Revenue function where x is in thousands of widgets and C(x) and R(x) are in thousands of dollars. The price p(z) is the price in dollars of one widget when the demand is a thousand widgets. All three functions have domain 1 ≤ ≤ 50. Use this information to answer questions 1-10 below. Price-demand function Cost function

Suppose Bang Bang is the only local swimming pool. She believes that there are 10 potential customers. Each of them has an identical demand function of QI = 250 – 0.02P, with QI as the unit of services of each customer. She operates with a constant variable cost of $500 per unit of service. a. Find the market demand function for her services. (Hint: use “Q” to denote the total market quantity)

Problem 2. Suppose the market demand and inverse-demand for pizza in East Lansing is given by: Demand: Qd 1100-5P 220-2₁ Inverse-Demand: P = 220- Currently, there are 100 pizza stores in the East Lansing area that produce identical pizzas and as such the market is perfectly competitive. Suppose each pizza store has identical cost function given by: C(q) = 100 +g+q², fixed-cost I MC(q)=1+2q where C(q) is the total cost, and MC(q) is the marginal cost function. As shown in the total cost function, each pizza store incurs a $100 fixed cost which is a sunk-cost in the short-run but avoidable in the long-run. Recall that the market supply is the sum of individual firm's supply functions, and that individual's (inverse) supply curve is given by its marginal cost function i.e. Individual firm's inverse-supply: P= mc(q) = 1 + 2q Individual firm's supply: 9,= 0.5P - 0.5 Market Supply: 2, 100q, = 50P - 50 (a) What is the short-run equilibrium market price/quantity of pizza in East Lansing? (b)…