ENGR.ECONOMIC ANALYSIS
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ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Suppose a consumer’s (inverse) demand function for gum produced by a firm with market power is given by P = 0.2 − 0.04Q and the marginal cost is zero. What price should the firm charge for a package containing five pieces of gum?
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- A new restaurant - Uovo - has just opened in West L.A. It is serving the upscale market, with truly outstanding pasta that is flown in overnight from Bologna, Italy. Uovo offers a fixed-price menu with an appetizer, three dishes of pasta, and a delicious tiramisu for dessert. The restaurant faces the following demand function: Q = 500 - 4P where Q is the number of guests per day. The marginal cost is constant at $45 per customer (including expenses for ingredients and personnel). The restaurant is paying a rent of $1,000 per day. What is the profit-maximizing number of guests that Uovo should serve each day, and what price should Uovo charge to maximize profit? What is the elasticity of demand at the optimal price and quantity? Is demand elastic or inelastic at this point? From what we learned in class, make sense for the restaurant to operate in this area of the demand curve (elastic/inelastic part)? 3 4. What is the profit of the restaurant at the optimal price and quantity, and what…arrow_forwardSuppose a consumer’s demand function for gum produced by a firm with market power is given by P = 0.2 – 0.4Q and the marginal cost is zero. What price should the firm charge for a package containing five pieces of gum?arrow_forwardA new restaurant – Uovo – has just opened in West L.A. It is serving the upscale market, with truly outstanding pasta that is flown in overnight from Bologna, Italy. Uovo offers a fixed-price menu with appetizer, three dishes of pasta, and a delicious tiramisu for dessert. The restaurant faces the following demand function: Q = 600 - 4P where Q is the number of guests per day. The marginal cost is constant at $50 per customer (including expenses for ingredients and personnel). The restaurant is paying a rent of $2,000 per day. What is the profit-maximizing number of guests that Uovo should serve each day, and what price should Uovo charge to maximize profit? What is the elasticity of demand at the optimal price and quantity? Is demand elastic or inelastic at this point? From what we learned in class, does it make sense for the restaurant to operate in this area of the demand curve (elastic/inelastic part)? What is the profit of the restaurant at the optimal price and quantity, and what…arrow_forward
- A store estimates is customer inverse demand is P= 6.1 - 2.6Q, and the marginal cost of each rental is $0.48. If they use block pricing, what should the price be for the entire package?arrow_forwardCindy's demand function for her legal services is given by the equation Q = 5000 - 20P, where Q represents the number of 1-hour sessions per year and P represents the price of each session. Her marginal revenue function is MR = 250 - 0.01Q. Cindys operation has no fixed costs, but she incurs a cost of $500 per session ( going to the clients house). What is Cindys yearly profit?arrow_forward*1 A small village has only one Italian restaurant. The daily demand for dinners in this restaurant is P=120-2Q, where P is the price in £ and Q is the number of dinners. It has a fixed cost of £300 and a marginal cost of £10 for the first 15 dinners. If it wants to produce more than 15 dinners, it must pay overtime wages to its workers, with the marginal cost rising to £20. What is the maximum amount of profit the restaurant can earn? Illustrate your answer on a diagram.arrow_forward
- Let's say there is demand in a market. The unit cost of production of the good is fixed and is at level 3. If you had a technology that could reduce this cost to 1, how much would you sell the pantent of the technology you have? (Hint: How much does society spend to get the technology you have?)arrow_forwardConsider a market for cars with just one firm. The firm has a linear cost functionC(q) = 2q. The market inverse demand function is P(Q) = 9 − Q, where Q is thetotal quantity produced. Since initially there is just one firm, q = Q.(a) Set up the maximisation problem for the monopolist and determine the optimalprice and quantity of cars produced. How much profit does the firm make?arrow_forwardThe demand function of dog breeders for electric dog polishers is qb = max{200−p, 0}, and the demand function of pet owners for electric dog polishers is qo = max{90 − 4p, 0}. (a) At price 150, what is the price elasticity of dog breeders’ demand for electric dog polishers? (it's a negative number) (b) At price 15, what is the price elasticity of pet owner’ demand for electric dog polishers? (it's a negative number) (c) Find a nonzero price at which there is positive total demand for dog polishers and at which there is a kink in the demand curve. $_____. What is the market demand function for prices below the kink. What is the market demand function for prices above the kink? ______ + Parrow_forward
- Suppose a local supermarket runs a discount campaign on the sales of shampoos using discount coupons – any customer who shows a discount coupon will be offered an 20% discount on the original retail price. Discuss TWO practical limitations for the supermarket to conduct coupon discount.arrow_forwardIf the inverse demand function is P=10-Q and total cost is C=2Q, what is the optimal fixed cost to be charged in a two part pricing ?arrow_forwardA small town has two bakeries, Acme and Fat Apple. Acme's marginal cost to make a loaf of bread is $1 and Fat Apple's marginal cost is $2. Acme's demand function is given as Q₁ = 14 - P₁ -0.5P2 and Fat Apple's demand function is Q₂ = 19 -0.5P₁ - P₂ where P₁ (P₂) is Acme (Fat Apple)'s price in dollars per loaf of break and Q1 (Q2) is measured in thousand loaves of Amce (Fat Apple)'s bread (respectively). What is Acme's profit function? O O P₂² +15P2-0.5P1 P2 + 0.5P₁ - 14. -P₁² + 15P₁ - 0.5P₁P2 + 0.5P2 - 14. -P₁²+10P1 -0.5P1 P2 +0.5P2 O + P₁²-15P1 +0.5P1 P2 -0.5P2 + 14.arrow_forward
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