For the demand equation, express the total revenue R as a function of the price p per item. q=-5p+1000 R(P) = Sketch the graph of the resulting function.
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- 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?On the following graph, use the green point (triangle symbol) to plot the annual total revenue when the market price is $40, $60, $80, $100, $120, $140, and $160 per bike. 6250 5820 Total Revenue 5390 4960 4530 4100 3670 3240 2810 2380 20 40 60 80 100 120 140 160 180 200 220 240 PRICE (Dollars per bike) According to the midpoint method, the price elasticity of demand between points A and B is approximately Suppose the price of bikes is currently $80 per bike, shown as point A on the initial graph. Because the demand between points A and B is , a $20-per-bike decrease in price will lead to in total revenue per day. In general, in order for a price increase to cause an increase in total revenue, demand must be TOTAL REVENUE (Dollars)A sporting goods store has estimated the demand for a popular brand of running shoes as given in the table below. Price per unit Shoe sales (OMR) 60 50 40 30 20 10 per 100 200 300 400 500 600 week Graphically present the table to get a demand curve. If the store charges a price of 50 OMR, then increases this price to 60 OMR, estimate price elasticity of demand. Analyze the total revenue before and after the price change.
- The average revenue is given as 70 and total revenue is given as 700 Find the quantity producedWhen the price of a gallon of milk increases from $6 to $8, quantity demanded decreases to 27 gallons. Assuming the price elasticity of demand for milk is -0.3, what is the original quantity demanded? (assuming further that this is the point elasticity relative to the original point on the demand curve.) Please make sure you give a numerical answer with no units and/or space or period (.) or comma (,) before or after your answer. Enter your answer hereA firm estimated a demand function for their mugs:Dm = 1.25Y- 0.8Pm + 0.5Dc – 0.1PcWhere D stands for demand, Y is income growth, P is the price, m is mugs, and c is coffee. (a) What is the price and income elasticity of demand estimates for mugs? (b) How do we estimate the cross price elasticity between coffee mugs and coffee? Are they complementary goods or substitute goods?
- You 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 amonthThe 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?Given the demand functions, (ii) P = 80 − 2Q, (iii) P = 45 (a) Write down the equations for TR. (b) Calculate the number of units which must be sold to maximize TR. Calculate the maximum TR. (c) State the values of Q at which MR and AR are zero.
- 6. Elasticity and total revenue The following graph shows the daily demand curve for bikes in Chicago. Use the green rectangle (triangle symbols) to compute total revenue at various prices along the demand curve. Note: You will not be graded on any changes made to this graph. 120 110 Total Revenue 100 90 80 70 60 40 A 30 20 10 Demand 16 24 32 40 48 56 64 72 80 88 96 QUANTITY (Bikes) PRICE (Dollars per bike) 50A local firm produces three types of Pizza, for delivery to homes in the area. The owner has completed research, to discover the demand curves for each of the three pizzas. The schedules are shown below: (Quantities are per week). Price Pizza A (Qd) Pizza B (Qd) Pizza C (Qd) 12 800 0 100 11 840 0 200 10 880 400 300 9 920 800 400 8 960 1200 500 7 1000 1600 600 6 1040 2000 700 5 1080 2400 800 Plot the three demand curves, on one graph. (It does not have to be Excel). Calculate PED for all three pizzas over the price range $9 to $10. Use the midpoint formula (see your class lecture notes.) Explain why the three PED measures are different. What change would make all three PED measures become more elastic? What about more inelastic?A local firm produces three types of Pizza, for delivery to homes in the area. The owner has completed research, to discover the demand curves for each of the three pizzas. The schedules are shown below: (Quantities are per week). Price Pizza A (Qd) Pizza B (Qd) Pizza C (Qd) 12 800 0 100 11 840 0 200 10 880 400 300 9 920 800 400 8 960 1200 500 7 1000 1600 600 6 1040 2000 700 5 1080 2400 800 Plot the three demand curves, on one graph. Calculate PED for all three pizzas over the price range $9 to $10. Use the midpoint formula Explain why the three PED measures are different. What change would make all three PED measures become more elastic? What about more inelastic? NB: THIS NOT A GRADED QUESTION, ITS A SAMPLE PRATICE QUESTION. THANK YOU