If an 8% decrease in price leads to a 4% increase in the quantity demanded of the good, as a result of the price change, the total revenue for this product will: a) decrease b) increase c) not change d) double
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- A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?The profit,P,of a company that manufactures and sells N units of a certain product is modeled by the function P(N)=R(N)-C(N) The revenue function,R(N)=S·N, is the selling price S per unit times the number N of units sold. The company's cost,C(N)= Co +Cop(N), is a sum of two terms. The first is a constant Co describing the initial investment needed to set up production. The other term, Cop(N), varies depending on how many units the company produces, and represents the operating costs. Companies care not only about profit, but also marginal profit, the rate of change of profit with respect to N. Assume that S=$50,Co=$75,000, Cop(N)=$50✓N,and that the company currently sells N= 100 units. Compute the marginal profit at this rate of production.Round your answer to one decimal place.
- The demand function for a manufacturer's product is D = 91 - 9p , where D is the number of units and 'p' is the price per unit. The value of D that will achieve maximum revenue is _____ units.A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately D = 1560 – 20p units (D is the demand of quantity sold per month, and p is in dollars.) The fixed cost is $800 per month, and the variable cost is $30 per unit produced. The demand that maximizes the revenue is:Subpart Letter D and E to be solved 1. Consider the following: If the price per unit of good A is P200 quantity purchased isvalued at 1,500 units. If price changes (increase or decrease) by P1, quantity demandedchanges (decreases or increases) by 4 units.A. Determine the demand function expressed as a price function. B. Set up a demand schedule for this function and determine the price elasticity ofdemand at various P and Qd combinations using point-price elasticity formula.(Make sure that all elasticity concepts are found on the same demand curve.) C. Determine the TR and MR functions.D. Graph the demand curve and the TR curve (TR curve just below the demand curve)E. At what P and Qd combination will TR be maximum?
- A bookstore purchased a best selling book at P200 per copy. At what price should this book be sold so that, giving a 20% discount, the profit is 30%.Engineering increases the miles per gallon of gas rating (Mg) by 10 miles per gallon. The manager of the advertising department should point out that demand for Jolts will:nd 35. AVERAGE SUPPLY A manufacturer supplies S(p) = 0.5p² + 3p + 7 hundred units of a Sie per certain commodity to the market when the price is p dollars per unit. Find the average supply as the price varies from p = $2 to p = $5. 6 43. E
- In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $29 per doll. During the holiday selling season, FTC will sell the dolls for $37 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. Determine the equation for computing FTC's profit for given values of the…For the first blue blank, answer options are 0.33, 0.67, 1.33, or 1.5 For the second blue blank, answer options are elastic, inelastic, unit elastic For the third blue blank, answer options are correct or incorrect For the fourth blue blank, asnswer options are decrease or increaseFG Manufacturers wants to determine the effectiveness of their pricing decisions for their product Lylo. As a consultant, you have been asked to develop cost functions that will assist in arriving at the optimal price that will enable the company to maximize profits. During the year, you were provided with the following demand and costs functions for the product: P = 400 – 6Q; where P is the unit selling price and Q is quantity in thousands of units. TC = 8Q2 + 36Q + 150; where TC is total cost in thousands of dollars. Determine the optimal sales revenue. Calculate the maximum profit. Briefly outline two (2) factors to be considered by managementswhen pricing decisions are being made.