A company has determined that the price and the monthly demand of one of its products are related by the following equation: Q = 300 - p. The associated fixed costs are $1,500 per month and the variable costs are $100 per unit. What is the maximum profit? What is the range of profitable demand?
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A company has determined that the price and the monthly
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- 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_____________The marketing research department for a company that manufacturers and sells gaming systems established the following price-demand function p(x)=240-30x Where p(x) is the wholesale price in dollars at which x thousand gaming systems can be sold, Find the revenue function when x thousand units are demanded Find the value of x that will produce maximum revenue. What is maximum revenue to the nearest thousand dollars? What is the price per gaming system that produces the maximum revenue?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.
- 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 $ ?If demand function is given as the following: Qz = 230 -2.75 Pz + 0.5 I + 1.2 Pm + 0.6A Where Qz is quantity of Good z sold, Pz is price of Good z per unit, I is per capita income, Pm is price of competitor and A is the amount of advertising spent. Current values: Pz= RM 55 I= RM 9000 Pm= RM 50 A =RM 12,000 a) Should the firm consider giving a price discount in order to increase total revenue?A business sells items according to the following Cost and Revenue functions: C(x)=10x+6100Cx=10x+6100 R(x)=−3.5x2+340xRx=-3.5x2+340x (a) Find the profit function: P(x)=Px= (b) How many items should be sold to break even? (Round to the nearest whole number. Enter your answer as a comma-separated list if necessary) (Enter the smaller number first) x=x= (c) What is the maximum profit for this business? (Round to two decimal places)
- 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.The Ford F-150 (best selling vehicle in the U.S. for the last three decades) is currently priced at about $40, 000 to $45, 000. Show what would likely happen to the amount of vehicles offered for sale if the vehicle price went up to $52, 000.own price elasticity of market demand for retail gasoline is -0.8,the Rothschild index is 0.5, and a typical gasoline retailer enjoys sales of$1.5 million annually. What is the price elasticity of demand for a representative gasoline retailer's product?
- Demand for an item is constant at 40 units a week, and the economic order quantity is calculated to be 100 units. What is the reorder level if lead time is constant at 4 weeks? What is the effect of adding some margin of safety and raising the reorder level by ten units? What happens if the lead time (a) falls to 2 weeks or (b) rises to 6 weeks?ABC Company Limited is a new business established to produce tables (in units). The demand function for tables is given as 4? = 35 − 0.5?. It has been estimated that the total fixed cost is GH¢80 and average variable cost function is 3? − 51 + 320, where Q is number of tables produced ? and P is the price per table (in GH¢). Given this information, what is the total profit at the profit maximizing level of output, and what is the best pricing policy option?A travel agency identifies two customer segments for a cruise ship. The demand curve for customers that are less price-sensitive is D1=1000-2P1. The demand curve for customers that are more price-sensitive is D2=1000-3P2. The cost of maintaining each cabin is $50. If one single price is charged, what is the price to maximize the profit? What is the profit? If the differential prices are charged to each customer segment, what is the price for each customer segment respectively? What is the total profit? What is the profit increase by charging different prices to each customer segment compared with one single price?