Mango Systems believes that demand for its pet e-mouse follows a linear demand equation: Quantity = 43,911 - 708 * Price Mango's variable cost to produce one pet e-mouse is $23.50. Find the maximum total contribution margin (margin per unit times quantity sold) that Mango Systems can possibly achieve on its pet e-mouse. (Rounding: penny.) Your Answer:
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- |1.6.1 A company manufactures and sells x dellphones per week. The weekly price-demand and cost equations are given below. p= 400 - 0.5x and C(x) = 20,000 + 140x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly profit is $ (Round to the nearest cent as needed.)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…Bill runs a business that makes custom-printed towels. It will cost him $8 each to purchase and print on towels, and he will have to pay a rent of $1,700 per month for him workshop. Based on market research, Bill estimates that he can sell custom towels for $25 each. a) Calculate the number of towels he needs to sell per month to break-even. towels b) Calculate the break-even in dollars (round off to the nearest cent).
- 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 functionConsider the graph above. If the demand curve intersects the marginal & average cost curve at 100 units, calculate the profit-maximizing quantity. Profit-maximizing quantity = Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.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 (?)
- Q) The short-run market demand andsupply for Kente cloth are expressed as follows:Demand:P=40-0.25QSupply: P=5+0.05QMarginal cost: -20+4Q a) Find short run level of output.The following graph plots daily cost curves for a firm operating in the competitive market for fitness trackers. Hint: Once you have positioned the rectangle on the graph, select a point to observe its coordinates. PRICE(Dollars pertracker) 100 90 70 60 50 40 20 10 0 0 MO ATC AVC 50 60 70 80 10 20 30 40 QUANTITY (Thousands of trackers per day) 90 100 Profit or Loss In the short run, given a market price equal to $45 per tracker, the firm should produce a daily quantity of trackers. On the preceding graph, use the blue rectangle (circle symbols) to fill in the area that represents profit or loss of the firm given the market price of $45 and the quantity of production from your previous answer. Note: In the following question, enter a positive number regardless of whether the firm earns a profit or incurs a loss. The rectangular area represents a short-run thousand per day for the firm.4. If Stopdecay does not change its price, the average monthly total revenue would be (Dropdown options: 240k, 195k, 200k, 162,500) 5. On the other hand, if it changes the price to sell the same number of units as it did before, the average monthly total revenue would be (Dropdown options: 231,920 or 241,440, or 160,000 or 172,480)
- 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 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 term7) What is total fixed cost at the profit-maximizing quantity?5. Demand functions are X-100-Px and Y=152-2Py Total Cost is C-6x2 + 4y2 +4xy + 110, Optimize the profit using two variable regular optimization formula.