A boutique fruit juice manufacturer produces 2 types of juices, Apple and Fig daily with a total cost function: TC = 6A+AxF+9F where: A is the quantity of the Apple juice (in kegs) and F is the quantity of the Fig juice (in kegs).
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- A7 You are the manager of a bakery that produces and packages gourmet muffins, and you currently sell muffins in packages of 3. A consultant’s report has estimated the (inverse) demand of a typical consumer to: P = 3 − 0.5Q If your cost of producing bran muffins is C(Q) = Q: (a) What is the marginal cost of muffins? (b) Draw the demand and marginal cost on a diagram. (c) Determine the optimal number of muffins to sell in a single package. (d) What price should the firm charge for each park?The following graph shows the daily demand curve for bippitybops in Denver. 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. PRICE (Dollars per bippitybop) 240 220 200 180 160 140 120 100 80 8 60 40 20 0 mớ H + 0 9 18 27 36 45 54 63 72 81 QUANTITY (Bippitybops per day) * Demand 90 B 99 108 Total Revenue (?)Question 1 A boutique fruit juice manufacturer produces 2 types of juices, Apple and Fig daily with a total cost function: TC = 6A + A × F +9F where: A is the quantity of the Apple juice (in kegs) and F is the quantity of the Fig juice (in kegs). The prices that can be charged are determined by supply and demand forces and are influenced by the quantities of each type of juice according to the following equations: P₁ = 17-A + F for the price (in dollars per keg) of the Apple juice and PF = 23+2A-F for the price (in dollars per keg) of the Fig juice. The total revenue is given by the equation: TR = PAXA + PF XF and the profit given by the equation Profit = TR - TC First, use a substitution of the price variables to express the profit in terms of A and F only. Using the method of Lagrange Multipliers find the maximum profit when total production (quantity) is restricted to 2023 kegs. Note A or F need not be whole numbers. Be sure to show that your solution is a maximum point.
- Vintage Camera T Temple MIS G is You have the following data for product X: sales revenue $14,000, allocated fixed costs $12,000, variable costs $20,000. You cannot increase the price of product X or improve the production process to increase profitability. What should you do about product X? O do nothing - unprofitable products are just one of the costs of doing business O keep the product both in the short term and in the long term O keep the product in the short term and drop it in the long term O drop the product both in the short term and in the long term O drop the product in the short term and keep it in the long termAnalyze relationship btween law of demand and law of diminishing marginal cost? B)Draw a graph to illustrate between a decrease in quantity demanded and a decrease in demand for registration cards of rashid latif cricket academy haripur.give posible reason for each.Ariana Grande has just finished recording her latestCD. Her record company’s marketing departmentdetermines that the demand for the CD is asfollows:Price Number of CDs$24 10,00022 20,00020 30,00018 40,00016 50,00014 60,000The company can produce the CD with no fixed costand a variable cost of $5 per CD.a. Find total revenue for quantity equal to 10,000,20,000, and so on. What is the marginal revenuefor each 10,000 increase in the quantity sold?
- The following graph plots the marginal cost (MC) curve, average total cost (ATC) curve, and average variable cost (AVC) curve for a firm operating in the competitive market for sun lamps. COSTS (Della) 72 04 8 56 24 16 . 0 Price (Dollars per lamp) MOD 8 12 36 48 60 10 ATC AVC 40 00 QUANTITY (Thousands of lamps) For every price level given in the following table, use the graph to determine the profit-maximizing quantity of lamps for the firm. Further, select whether the firm will choose to produce, shut down, or be indifferent between the two in the short run. (Assume that when price exactly equals average variable cost, the firm is indifferent between producing zero lamps and the profit-maximizing quantity of lamps.) Lastly, determine whether the firm will earn a profit, incur a loss, or break even at each price. Quantity (Lamps) ? Produce or Shut Down? Profit or Loss?The following graph illustrates the weekly demand curve for motorized scooters in Scottsdale. 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. PRICE (Dollars per scooter) TOTAL REVENUE (Dollars) 8700 8100 7500 6900 6300 5700 5100 4500 3900 325 3300 300 275 250 225 200 175 150 125 100 75 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. (?) 50 25 0 0 10 20 *4 0 25 50 Xo Demand 30 40 50 60 70 80 90 100 110 120 130 QUANTITY (Scooters) Total Revenue 75 100 125 150 175 200 225 250 275 300 325 PRICE (Dollars per scooter) (?) Total Revenue According to the midpoint method, the price elasticity of demand between points A and B is approximately3. A local firm produces three types of pizza, for delivery to homes in the area. The owners have 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) 12 800 100 11 840 200 10 880 400 300 9. 920 800 400 8 960 1200 500 1000 1600 600 1040 2000 700 1080 2400 800 Plot the three demand curves, on one graph. a) Calculate the Market demand for Pizza. b) Calculate Price Elasticity of Demand for all three pizzas over the price range £9 to £10. c) For pizza C only, what price must be charged if the firm wishes to maximize its sales revenue? II
- Price You are the manager of a firm that charges customers $16 per unit for the first unit purchased, and $12 per unit for each additional unit purchased in excess of one unit. The accompanying graph summarizes your relevant demand and costs. 0 18 16 + 12 10 20 14 8 6 4 2 0 1 2 3 4 Quantity MC-AC D 5 6 7 ernal browser=0&launchUrl=https%253A%252F%252Fnewconnect.mheducation.com%252F#/activity/question-grow a. What is the economic term for your firm's pricing strategy? First degree price discrimination O Fourth degree price discrimination O Third degree price discrimination O Second degree price discrimination Seved b. Determine the profits you earn from this strategy.2. Firm A makes and sells motor cycles. The total cost of each cycle is the sum of the costs of frames, assembly and engine. The firm produces its own engines according to the cost equation C₁=250,000 + 1,000Q +5Q² The cost of frames and assembly is $2,000 per cycle. Monthly demand for cycles is given by the inverse demand equation: P = 10,000-30Q Calculate the MC of producing an additional engine.4. A puppet maker calculates that the yearly cost of running his manufactory is $14,000. Additionally it costs him $60 to create each of his puppets. The price per puppet is determined by the following price-demand equation: p=500–2x a. Find the Cost equation for the total number of puppets produced and sold Find the Revenue equation for the total number of puppets produced and sold b. c. How many puppets does he need to make and sell to break even? d. Use the Cost and Revenue equations to find the Profit function What is the price that he needs to charge if he wants to sell exactly 80 puppets? e.