Q.5 Given the demand functions, (i) Q = 150 − 0.5P, (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.
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Q.5 Given the demand functions,
(i) Q = 150 − 0.5P, (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.
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- Given the demand functions, (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.Please no written by hand the demand function for a manufacturer's product is p = f(g) = - 0.20g + 500, where p is the price (in dollars) per unit when q units are demanded (per day). Find the level of production that maximizes the manufacturer's total revenue and determine this revenue. what quantity will maximize the revenue. q = blank unitsOptimal Price For a certain product, the linear demand curve is described by the equation, Quantity = 10,528 - 474 * Price. Variable cost to manufacture this product is $8 per unit. Calculate optimal price for this product. (Rounding: penny.)
- A manufacturer of a new patented product has found that he can sell 70 units a week to the customer if the price is $48. In error, the price was recently advertised at $78 and as a result only 40 units were sold in a week. The manufacturers fixed costs of production are $ 1710 a week and variable costs are $9 per unit. You are required to a) Show the equation of the demand function linking price (P) to quantity demanded (X) assuming it to be a straight line is P = 118-xM10. A theatre charges 12$ per tickets for musical shows. Average attendance at these shows is 16,000. However, last year they charged 13$ and the average attendances were 13,5000. Required Assuming attendance to be purely price dependent. What is demand function for the theatre?PNG’s managers estimate that a 50% increase in price would cause an 80% reduction in the quantity of product sold. Total fixed costs for the product are $5000 and total variable costs are $4000, based on production of 400 units. The following values may be useful. 1n (0.2) = –1.609 1n (1.5) = 0.405 1n (0.5) = –0.693 1n (4000) = 8.294 1n (0.8) = –0.223 1n (5000) = 8.517 What is PNG’s price elasticity of demand? –0.252 +0.322 –3.973 +3.108
- Consider the demand function d(p)=300e^−0.01p^2 items purchased when charging p dollars per item. Currently the price is 9 dollars per item. Use marginal analysis to estimate the decrease in demand when the price increases by 0.3 dollars per item. Demand would decrease by approximately _____ items. Round your answer to three decimal places.James mainly sells confectionery items, newspapers, magazines and cigarettes in his convenience store. Noting his small business is not thriving, he thought of selling hot pies and rolls too. Suppose the total cost function for rolls and pies is, TC = 900 + 50Q, Q = Q1 + Q2 Where Q1 and Q2denote the quantities of rolls and pies respectfully. If P1 and P2 denote the corresponding prices, the inverse demand equations are. Q1 = 70 - P1 and 0.5Q2 = 100 - P2 a)If James decides to make a total of 48 rolls and pies per day and charges different prices as above (that is, P1 ≠ P2 ), how many of rolls and pies each should he make in order to maximize the profit of a particular day? Estimate and interpret the Lagrange Multiplier λ [note: assume second-order conditions are satisfied]. b)Using your knowledge of input-output tables, explain which components of the economy will be affected if all convenience stores, including James’, closed down for three months due to the COVID-19. What would…An economic consultant for Gumbcorp. recently provided the firm’s marketing manager with this estimate of the demand function for the firm’s product: Qxd=12,000 -3Px + 4Py - 1M + 2Ax where Qxd represents the amount consumed of good X, Px is the price of good X, is the price of good Y, M is income, and Ax represents the amount of advertising spent on good X. Suppose good X sells for $200 per unit, good Y sells for $15 per unit, the company utilizes 2,000 units of advertising, and consumer income is $10,000. How much of good X do consumers purchase? Are goods X and Y substitutes or complements? Is good X a normal or an inferior good
- demand for a product is related to its selling price P (in dollars) by the equation n=2800-100p where n is the number of fans that can be sold per month at a price P. Find the selling price that will maximize the revenue.The market research conducted by a firm in the drinking water industry shows that the demand for water has a constant elasticity equal to − 1/? where ? is 9 a) Express the demand function in the form of a differential equation b, Find the general solution for the differential equation by expressing Q (the quantity demanded) as a function of P (the product price). c, ) Suppose that the demand for bananas has a constant elasticity equal to – 9. Explain in words (without providing any calculation) how decreasing the price would affect a banana seller’s total revenue and profits. Please help me. Thank you so much.The accountant of an agricultural company is asked to make a report about the commodities, and according to the data, the demand equation for a certain commodity is x^2 + p^2=100, where p dollars is the price of one unit when 100x units of the commodity are demanded. The accountant needs to find the average total revenue when the number of units demanded takes on all values from 600 to 800. With complete solution and explanation please, thank you!