(1) The ABC Corporation is the only producer of a particular type of laser. The demand curve for its product is Q=176 - 2P and its cost function is TC = 4Q +2Q², where P is price, TC is total cost and Q is monthly output. (a) If the firm charges the same price to all the consumers, then what is the profit-maximizing quantity? (b) If the firm were to exercise the first-degree price discrimination, then how much output would it produce?
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- I need to second half answered. JointJuice produces a prepackaged joint support supplement for relief of joint pain with 180 tablets per bottle and operates in a perfectly competitive market. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as JointJuice’s. Suppose JointJuice’s total cost function is given by the following where q is JointJuice’s quantity of packages per day: C(q) = 250 + 6q + 0.1q^2 The market demand function for the output in this market is given by: Q = 1848 - 2P If there are 20 identical firms in this industry, find the market equilibrium price for the prepackaged supplements. Calculate JointJuice’s optimal output level and profits given the market price for the product. If JointJuice is typical of the firms in this industry calculate the firm’s long-run equilibrium output, price, and profit level. - answers for first half JointJuice is a prepackages supplement-producing firm. Suppose…The price-demand equation for the production of bluetooth speakers is: p = 250 - 1/20x, for 0 is less than or equal to x and x is less than or equal to 5000 where x speakers can be sold at $p per each speaker. The cost to produce x speakers is given as C(x) = 150,000 + 30x, where both C(x) and p are represented in dollars ($). - find the profit function and the marginal profit and interpret the quantity P'(4500) - find the marginal cost and interpret the quantity C'(3000) - find the revenue function and the marginal revenue and interpret the quantity R'(3000)Consider an imperfectly competitive service provider, Muscat Automotive Repair Services (MARS), whose total cost of production is C = 30Q+0.165Q2. Also, MARS faces two different market segments, A and B, whose demands can be linearly expressed as QA = 240 - PA and QB = 120 - 0. 5PB. (Hint: the marginal cost is the slope of the total cost function).1. Under a single-price strategy (no market segmentation), find MARS’s profit-maximizing price and quantity.
- Q1. A firm faces the following average revenue (demand) curve: P = 100 - 0.01Q where Q is weekly production and P is price, measured in cents per unit. The firm’s cost function is given by C = 50Q + 30,000. Assuming the firm maximizes profits, a. What is the level of production?Consider an imperfectly competitive service provider, Muscat Automotive Repair Services (MARS), whose total cost of production is C = 30Q +0. 165Q2. Also, MARS faces two different market segments, A and B, whose demands can be linearly expressed as QA = 240 − PA and QB = 120 − 0.5PB . (Hint: the marginal cost is the slope of the total cost function). 4. If MARS decides to segment the market in accordance with the demands of groups A and B, find the profit-maximizing prices and quantities (PA, QA) and (PB, QB).5. What is the value of the consumer surplus for each group A and B, under this segmentation strategy?6. Draw the situation described in (4) and (5) above, clearly showing each group’s profitmaximizing price and quantity, and the areas that correspond to their consumer surpluses.7. Verify the inverse elasticity rule under each of the scenarios described (1) and (4) above.A two product firm faces the following demand anc cost functions: Q1 = 40 - 2P1 - P2 Q2= 35 - P1 - P2 C = Q21 + 2 Q22 + 10 (a) Find the output levels taht satisfy the first-order condition for maximum profit. (use fractions.) (b) Check the second-order sufficient condition. Can you conclude that this problem possesses a unique absolute maximum? (c) What is the maximal profit?
- I alrready got the first half answered, I need the second half. JointJuice produces a prepackaged joint support supplement for relief of joint pain with 180 tablets per bottle and operates in a perfectly competitive market. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as JointJuice’s. Suppose JointJuice’s total cost function is given by the following where q is JointJuice’s quantity of packages per day: C(q) = 250 + 6q + 0.1q^2 The market demand function for the output in this market is given by: Q = 1848 - 2P If there are 20 identical firms in this industry, find the market equilibrium price for the prepackaged supplements. Calculate JointJuice’s optimal output level and profits given the market price for the product. If JointJuice is typical of the firms in this industry calculate the firm’s long-run equilibrium output, price, and profit level. Suppose the situation changes. JointJuice has its plant in…Dalahla Company Limited, focusing on producing tooth paste (in units) has a demand function4? = 35 − 0.5?. If total fixed cost is GH¢80 and average variable cost per unit function is 3? −51+325/Q, where Q is number of tooth paste produced and P is the price per tooth paste (in GH¢).What is the total profit at the profit maximizing level of output, and what is the best pricing policyoption?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 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…
- Wakanda is a firm that solely supplies vibranium to Marley and Paradis. The demand function of the Marley market is given as QM=110-PM , and the demand function of the Paradis market is QP=30-PP . Wakanda’s total cost in producing vibranium is given as TC=100+10Q , where represents a ton of vibranium. 1. Calculate the equilibrium price and output for each market. 2. How much is the total revenue in each market?JointJuice produces a prepackaged joint support supplement for relief of joint pain with 180 tablets per bottle and operates in a perfectly competitive market. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as JointJuice’s. Suppose JointJuice’s total cost function is given by the following where q is JointJuice’s quantity of packages per day: C(q) = 250 + 6q + 0.1q^2 The market demand function for the output in this market is given by: Q = 1848 - 2P If there are 20 identical firms in this industry, find the market equilibrium price for the prepackaged supplements. Calculate JointJuice’s optimal output level and profits given the market price for the product. If JointJuice is typical of the firms in this industry calculate the firm’s long-run equilibrium output, price, and profit level. Suppose the situation changes. JointJuice has its plant in Portland Oregon. The local government passes a new tax on…Exercise 4.5 Roger is a regular consumer of personalized greeting cards with Hofmann photographs. Its demand curve is given by q = 31 -0.5P. Rogelio is a representative consumer of this type of cards so we can assume that the rest of the customers, 1,000 in total, have the same demand curve. The supplier company, Hofmann, can produce each card at a constant average and marginal cost of €2. In the market of personalized greeting cards there are many other companies that offer very similar cards. Consider the following the scenario: iv) Hofmann acts as a second-degree discriminator monopolist and offers each of its customers the possibility to buy the first 15 cards at a unit price of € 32, the next 5 (from € 16 to 20) at a unit price of € 22 and the following 10 (from € 21 to 30) at a unit price of €2. Calculate the surplus of the consumer, the surplus the producer and represent graphically