мсо 15 If a firm faces a downward-sloping demand curve and aims to maximise total sales revenue, it should set price and output at the point where: A MR = 0 В MR <0 C MR > P D MR = MC E MR = P I do not want to answer this question.
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- A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit function(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40 – 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Problem з(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40−4q2where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit?
- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…A 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?Assume that the following table represents the demand schedule for the product of your company: Price 0 10 20 30 40 50 60 70 80Quantity 160 140 120 100 80 60 40 20 0per day TotalRevenue (TR) a. Complete the table by calculating the total revenue (TR) figures. b. At what price and quantity is revenue maximised? c. Use the data above to draw the relevant demand curve and the corresponding total revenue(TR) values.d. Use your knowledge about the relationship between elasticity, prices and revenue how you would maximise the total revenue of a company that produces an inelastic good. Substantiate your answer with appropriate diagrams.
- The demand function for SkanDisc 2GB thumb drives is given by p- 4(x + 3) e"/a where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Compute the price, p, when x 6. Do not round your answer. Price, p- 36e dollars Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x- 6. Do not round your answer. Rate of change of demand, x' x thousands of units per dollar Compute the elasticity of demand when x - 6. Do not round your answer. Elasticity of Demand-A garden shop determines the demand function D(p) = 4p+1000 during early summer for %3D 40p+26 comato plants where q is the number of plants sold per day when the price is p dollars per plant. a. Find the price elasticity of demand equation. b. Calculate the price elasticity of demand at a price of $3. Is the demand elastic, inelastic, or unit elastic? How do you know? C. Based on the information in part b, should the garden shop increase, decrease, or leave the price the same at $3 if it wants to increase revenue? Explain. d. Calculate the revenue before the price change and after to support your answer to part c.The blue curve on the following graph represents the demand curve facing a firm that can set its own prices. Use the graph input tool to help you answer the following questions. You will not be scored on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. PRICE (Dollars per unit) 100 TOTAL REVENUE (Dollars) 90 80 20 10 0 1250 1125 1000 875 750 625 500 On the previous graph, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 10, 20, 25, 30, 40, or 50 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. 375 250 125 + 0 0 0 Demand 5 10 15 20 25 30 35 40 45 50 QUANTITY (Units) + 5 20 10 15 25 30 35 QUANTITY (Number of units) 40 Graph Input Tool Market for Goods 45 50 Quantity Demanded (Units)…
- Question 1 The Potomac Range Corp manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomac's closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. What is the arc cross elasticity of demand between Potomac's oven and the competitive Spring City model? Would you say that these two firms are very close competitors? What other factors could have influenced the observed relationship? If Potomac knows that the arc price elasticity of demand for its ovens is -3.0, what price would Potomac have to charge to sell the same number of unit it did before the Spring City price cut?[Select all that apply] Let the cost of producing a books be 100+ x and a price - demand equation be r + p (a.) P(x) 100 + 2 (b.) P(x) = (800x) (100+ x) (c.) P(x)= x (800) (100 + x) - (d.) P(x) = (800x) (100+z) - (100+ x) Oc b O 10 d1.i) Assuming you are the managing director of a firm that produces goods: A,B and C .The price elasticity of demand for A is 1.2, for B it is 1.oo and C is 0.75. It is known that he's firm is experiencing serious cash flow problems and you have to increase total revenue as soon as possible. If you were in a position to set the prices for these goods, what would be your pricing strategy for each product ii) price falls from N$ 16 to N$ 12 per bottle and demand rises from 200 to 300 per bottle.calculate the PED using midpoint formula Output prices average (total)cost Total cost marginal cost Total profit/loss 10 10 -108 20 10 4 -48 30 10 5 3 40 10 6.20 40 50 10 8 60 60 10 10 60 2. i) fill in the gaps ii)in which market structure doess Johnson Electronics (Pty)Ltd operate? iii)what level of output maximizes the firms profit