ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- 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?arrow_forwardConsider the following demand function: 500 p(q) : (q + 290)? (a) Find the point elasticity n(g) as a function of q. The point elasticity function n(q): (b) Find the point elasticity at q = 520. Note: Point elasticity is typically a negative quantity. (c) Determine whether the demand is elastic, or inelastic, or has unit elasticity at q = 520. The demand is ? at q = 520.arrow_forwardProblem 4. The price is a function of demand given as p(q) = 2.5 ln(300). Use the elasticity function to find the price for this product that generates the highest revenue.arrow_forward
- Question #2 Consider the following demand function for frozen dinners where QD is the quantity of frozen dinners demanded per week, P is the price per frozen dinner, PF is the price per fast food meal, Y is the average yearly consumer income, and A is the number of advertisements for frozen dinners. Demand Function for Frozen Dinners: QD = 1,000 – 10P + 20PF – 0.01Y + A Suppose that a frozen dinner sells for $4, a fast food meal sells for $6, average yearly consumer income is $50,000, and that there are 20 advertisements for frozen dinners. Calculate and interpret the income elasticity of demand. Calculate and interpret the cross-price elasticity of demand with respect to fast food meals.arrow_forwardAn analyst for FoodMax estimates that the demand for its “Brand X" potato chips is given by: InQx = 10.34 – 3.2 In Px+ 4Py+ 1.5 In Ax where Qx and Px are the respective quantity and price of a four-ounce bag of Brand X potato chips, Pyis the price of a six-ounce bag sold by its only competitor, and Ax is FoodMax's level of advertising on brand X potato chips. Last year, FoodMax sold 5 million bags of Brand X chips and spent $0.25 million on advertising. Its plant lease is $2.5 million (this annual contract includes utilities) and its depreciation charge for capital equipment was $2.5 million; payments to employees (all of whom earn annual salaries) were $0.5 million. The only other costs associated with manufacturing and distributing Brand X chips are the costs of raw potatoes, peanut oil, and bags; last year FoodMax spent $2.5 million on these items, which were purchased in competitive input markets. Based on this information, what is the profit-maximizing price for a bag of Brand X…arrow_forwardThe manager of a bicycle shop has found that, at a price (in Rands) of p(x) = 150 –x/4 per bicycle, x bicycles will be sold . Answer the following:• Find an expression for the total revenue from the sale of x bicycles. (Hint: Revenue = Demand *Price. )• Find the expression for the quantity to be sold q if the demand function demand is given byp = -10q + 3200• What is the number of bicycles x, sold if the price is R40arrow_forward
- The demand function for product is p = -4q+400 and the average cost for producing q units 500 is c = 37q + 40 + where p= price, and q= quantity demand. 2 9 1. 2. 3. 4. Compute the point elasticity of demand and find the intervals where the demand is inelastic, elastic, and the price for which the demand is unit elastic. Find the quantity that maximizes the total revenue and the corresponding price. Interpret your result. Find the quantity that minimizes the average cost function and the corresponding price. Interpret your results. What are the quantity and the price that maximize the profit? What is the maximum profit? Interpret your result.arrow_forwardThe demand functions for a pineapple is given by p=-0.10x+15. a.) find the revenue function b.) how many pineapples will you sell when you are maximizing revenue? c.) what price gives the maximum revenue and what is the maximum revenue?arrow_forward4. An economic consultant provides a firm's marketing manager with the following estimate of the demand function for the firm's product: Qx = 1240 – 3.13Px - 0.611P, + 2.01M + 0.30AX Px = the price of the firm's product per unit; Py = the price of another good per unit; M = money income for the average consumer; Ax = advertising costs for the firm's product. The demand function shown above indicates that: A. The firm's good (X) and the other good (Y) are substitutes and that X is an inferior good B. The firm's good (X) and the other good (Y) are complements and that X is an inferior good C. The firm's good (X) and the other good (Y) are substitutes and that X is a normal good D. The firm's good (X) and the other good (Y) are complements and that X is a normal goodarrow_forward
- What is the total revenue in a market with the following demand and supply curves? QD=478-6P and QS=128+8Parrow_forwardThe market research department of the Better Baby Buggy Co. predicts that the demand equation for its buggies is given by q = −2.5p + 500 where q is the number of buggies it can sell in a month if the price is $p per buggy. At what price (in dollars) should it sell the buggies to get the largest revenue? p = $arrow_forwardone demand function is linear and the other is called a constant elasticity demand function. Using data tables, show that the price elasticity in the linear demand function is not constant in price, and show that the price elasticity is constant in the constant elasticity demand function.arrow_forward
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