Discuss the importance of price elasticity of demand, income elasticity of demand and cross price elasticity of demand to a sales manager selling soft drinks like Coca Cola
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- Discuss the importance of
price elasticity of demand , income elasticity of demand and cross price elasticity of demand to a sales manager selling soft drinks like Coca Cola - If a firm faces the Marginal Cost schedule MC = 180 + 0.3Q2 and the MR schedule is MR = 540 = 0.6Q2 and that Total Fixed costs are $65. What is the maximum profit it can make? Assume that the second-order condition for maximum is met
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- The Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomacs closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. What is the arc cross elasticity of demand between Potomacs oven and the competitive Spring City model? Would you say that these two firms are very dose competitors? What other factors could have influenced the observed relationship? If Potomac knows that the arc price elasticity of demand for its ovens is 3.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?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)Wyandotte Chemical Company sells various chemicals to the automobile industry. Wyandotte currently sells 30,000 gallons of polyol per year at an average price of $15 per gallon. Fixed costs of manufacturing polyol are $90,000 per year and total variable costs equal $180,000. The operations research department has estimated that a 15 percent increase in output would not affect fixed costs but would reduce average variable costs by 60 cents per gallon. The marketing department has estimated the arc elasticity of demand for polyol to be –2.0.a. How much would Wyandotte have to reduce the price of polyol to achieve a 15 percent increase in the quantity sold?b. Evaluate the impact of such a price cut on (i) total revenue, (ii) total costs, and (iii) total profits.
- Wyandotte Chemical Company sells various chemicals to the automobile industry. Wyandotte currently sells 30,000 gallons of polyol per year at an average price of $30 per gallon. Fixed costs of manufacturing polyol are $180,000 per year and total variable costs equal $360,000. The operations research department has estimated that a 15 percent increase in output would not affect fixed costs but would reduce average variable costs by 60 cents per gallon. The marketing department has estimated the arc elasticity of demand for polyol to be –2.0. How much would Wyandotte have to reduce the price of polyol to achieve a 15 percent increase in the quanity sold in percent? Such a price cut would increase or decrease total revenues from $900,000 to $ ? Total costs would be $ . and total profits would be $ ?has established that the relationship between the price for one of its products is approximately. In addition there is a fixed cost of $45,000 per year and the variable cost to manufacture the product is $45 per unit. What level of demand maximizes the total revenue? Ans. is Blank 1. What level of demand maximizes the total profit for this product? Ans. is Blank 2. Blank 1_____________ Blank 2_____________Bavarian Crystal Works designs and produces crystal wine decanters for export to international markets. The marketing manager of Bavarian Crystal Works estimates the demand curve for each month to be: P=1,000-0.0025Q where Q is the number of wine decanters produced annually. Bavarian Crystal Works also pays a lease for its factory and equipment every month in the amount of $1,000,000. Finally, the cost to produce each wine decanter is $200. What is the marginal revenue at 40,000 units? If Bavarian Crystals is currently producing 40,000 units would you recommend they increase their production?
- Royersford Knitting Mills, Ltd. sells a line of women’s knit underwear. The firm now sells about 20,000 pairs a year at an average price of $10 each. Fixed costs $60,000, and total variable costs equal $120,000. The production department has estimated that a 10 percent increase in output would not affect fixed costs but would reduce average variable cost by 40 cents. The marketing department advocates a price reduction of 5 percent to increase sales, total revenues, and profits. The arc elasticity of demand is estimated at -2. Evaluate the impact of the proposal to cut prices on (1) total revenue, (2) total cost, and (3) total profits. If average variable costs are assumed to remain constant over a 10 percent increase in output, evaluate the effects of the proposed price cut on total profits.(i) If the demand function for a particular commodity is p=−0.09x+51 and the total cost function C(x)=1.32x2+11.7x+101.4,where x is the level of production. Find (a) The revenue R(x) and profit Π(x). (b) All values of x for which production of the commodity is profitable. (ii) The total cost of manufacturing x units during the daily production run at a factory,is C(x)= x2+ x+900 dollars. Usually,x(t)=25t units are manufactured during the first t hours of production. (a) Express the total manufacturing cost as a function of t. (b) How much will have been spent on production by the end of the third hour? (c) When will the total manufacturing cost reach $11,000?Bavarian Crystal Works designs and produces crystal wine decanters for export to international markets. The marketing manager of Bavarian Crystal Works estimates the demand curve for each month to be: P=1,000-0.0025Q Where Q is the number of wine decanters produced monthly. Bavarian Crystal Works also pays a lease for its factory and equipment every month in the amount of $1,000,000. Finally, the cost to produce each wine decanter is $200. What quantity would maximize profits? What is the optimal price for Bavarian Crystals to charge?
- A firm has a linear demand function for it's product.When the price for the product is Sh.220,the quantity demanded is 40 units.When the price increases to Sh.240 the quantity demanded becomes 30 units.In addition,the firm's marginal cost function is given by; MC = 40Q-2Q^2+2 Fixed cost = Sh. 5 million Where Q= quantity demanded, Mc= marginal cost(cost in Sh. Million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at a maximum profitA company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (e) What is the maximum profit?Knitting Mills sells a line of women’s knit underwear. The firm now sells about 20,000 pairs a year at an average price of $10 each. Fixed costs $60,000, and total variable costs equal $120,000. The production department has estimated that a 10 percent increase in output would not affect fixed costs but would reduce average variable cost by 40 cents. The marketing department advocates a price reduction of 5 percent to increase sales, total revenues, and profits. The arc elasticity of demand is estimated at -2. i. Evaluate the impact of the proposal to cut prices on (1) total revenue, (2) total cost, and (3) total profits. ii. If average variable costs are assumed to remain constant over a 10 percent increase in output, evaluate the effects of the proposed price cut on total profits.
