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- 4. There is no demand for a certain make of one-time use camera when the unit price is $ 12. However, when the unit price is $ 8, the quantity demanded is 8000/week. The supplier will not market any cameras if the unit price is $ 2 or lower. At $ 4/camera, however, the manufacturer will make available 5000 cameras/week. Given that both the supply and demand equations are linear: (a) Determine the associated linear demand function (b) Determine the linear supply function. (c) At what price should the camera be sold so that there is neither a surplus nor a shortage?Problem 2 Refer to problem 1.(Problem 1: Auto Mart is a mythical seller of a variety of automobileparts and accessories. Auto Mart's owner, Jonathan Trott, wishes to determine the optimum order quantity for oneof the store's popular wiper blades. The annual demandfor the wiper blades is 16,000. The annual holding costper unit is US$2.50, and the cost to place an order is US$50:) Assuming that holding costs and ordercosts remain the same, if annual demand for wiper blades doubles to 32,000, does the EOQ also Double? Explainyour answer with relevant calculations.a) The demand function for a product is p = 60 3-9/15) where q is the number of units and p is the price of one unit. At what price will the demand be 15 units? How many units will be demanded if the price is $41.60?
- The demand equation for school lunches is x=100-10pwhere x is the number of lunches purchases and p is the price in dollars. Which of the following represents E(p)? A) p/10-p b) -p/10-p c) p/20-p d) -p/100-10p e) p2/100-10pYou decide to sell pairs of running shoes. Assume that the quantity demanded is alinear function of the price. It is known that if you charge $40 per pair of shoes, thenyou will be able to sell 400 pairs of shoes in a month. If you charge $60 per pair ofrunning shos, then you can sell 300 pairs of shoes in a month. It is also known thatyour monthly fixed cost is $100 and pairs of shoes cost $20 per shoe to produce. Findwhat price you should charge for a pair of shoes in order to maximize profit in amonthIn this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand function p + 69 - 300 at (9, p) = (25, 150). (b) How will a price increase affect total revenue? O Since the demand is elastic, an increase in price will decrease the total revenue. Since the demand is inelastic, an increase in price will decrease the total revenue. O Since the demand is elastic, an increase in price will increase the total revenue. Since the demand is unitary, there will be no change in the revenue with a price increase. Since the demand is inelastic, an increase in price will increase the total revenue. Need Help? Read It Watch It
- Producers of a certain brand of refrigerator will make 1600 refrigerators available when the unit price is $320. Ata unit price of $370, 5600 refrigerators will be marketed. Find the equation relating the unit price p of a refrigerator to the quantity supplied x if the equation is known to be linear How many refrigerators will be marketed when the unit price is s4207 refrigerators What is the lowest price at which a refrigerator will be marketed?A1). The price, p, that a bookstore charges for a special gift edition of a popular trilogy is related to the demand, q, by the equation 100pq + q? = 5,000,000. Suppose the price is currently set at $40. (a). At what rate is the demand currently changing with respect to this price? (Include units) (b). At what rate is the revenue currently changing with respect to this price? (Hint: use the chain rule). (Include units). (c). Suppose the demand is currently increasing at a rate of 50 copies per month. How fast is the price currently changing per month? (again, assume the price is currently $40).Include units.Homework (Ch 05) On the following graph, use the green point (triangle symbol) to plot the weekly total revenue when the market price is $50, $75, $100, $125, $150, $175, and $200 per scooter. TOTAL REVENUE (Dollars) 7830 7290 6750 8210 5670 5130 4590 4050 3510 2970 0 25 50 75 100 125 150 175 200 225 250 275 300 325 PRICE (Dollars per scooter) Total Revenue gage Learning According to the midpoint method, the price elasticity of demand between points A and B is approximately Suppose the price of scooters is currently $25 per scooter, shown as point B on the initial graph. Because the demand between points A and B is a $25-per-scooter increase in price will lead to in total revenue per week. In general, in order for a price increase to cause a decrease in total revenue, demand must be
- Problem 03-04 (algo) Suppose the own price elasticity of demand for good X is -3, its income elasticity is -3, its advertising elasticity is 4, and the cross- price elasticity of demand between it and good Yis 2. Determine how much the consumption of this good will change if: Instructions: Enter your responses as percentages. If you are entering a negative number, be sure to use a (-) sign. a. The price of good X decreases by 7 percent. percent b. The price of good Yincreases by 9 percent. percent C. Advertising decreases by 2 percent. percent d. Income increases by 5 percent. percentThe monthly demand function for a particular product is q=f(p)=2400-15p, where q is stated inunits and p is the price in dollars.i) Determine (a) the Revenue function, (b) concavity, (c) revenue at a price of $50, (d) atwhat price will the revenue be maximized, (e) graph the revenue function.ii) In general how we determine Maximum and minimum value of Quadratic function.What does concavity tell us about the function’s behaviour?4. John Stain estimates that the demand curve for his PaneMaster insulated windows is given by 350-2P Q Currently, John is charging $150 per window, including installation. John is considering a sale. Find the price elasticity of demand for PaneMaster Windows and comment on the advisability of a sale. = a) EQp = -0.67 so the consequences of a sale cannot be determined b) Eqp = -0.67, so a sale would increase profits c) EQp = -6.00, so the consequences of a sale cannot be determined d) EQp = -6.00, so a sale would increase profits