Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions: p(x) = 60 - 1.20x C(x) = = 210 + 12x Cost function R(x) = xp(x) = x(60 - 1.20x) Revenue function Price-demand function where & is in thousands of widgets and C(x) and R(x) are in thousands of dollars. The price p(x) is the price in dollars of one widget when the demand is a thousand widgets. All three functions have domain 1 ≤ x ≤ 50. Use this information to answer questions 1-10 below.
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- you are an accountant for a manufacterer of radios. the demand function for the tablets is p= 40-4x2 where x is the number of tablets produced in millions. it costs the company $15 to make a tablet. write an equation for the manufactures profit as a function of the number of tablets produced. the company currently produces 1 million tablets and makes a profit of $21000000, but you would like to scale up production a bit, what greater number of tablets could the company produce to yield the same profitA company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs are $ 50000. They will sell the CD's for $ 79 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C =$ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. P=$ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Question Help: Video Submit QuestionLet's say jacky has a demand function for a product made in Ney york city given that the function D(q)=-1.15q+270, where q is the number of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Say that the fixed costs of production for the item is $5,000 and variable costs are $10 per item produced. If 100 items are produced and sold, what are the finds :
- On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 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. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.|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 newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit function
- 2.1 A manufacturer estimates that its variable cost for manufacturing a given product is given by the following expression: C(q) = 25q² + 2000q [$] where C is the total cost and q is the quantity produced a. Derive an expression for the marginal cost of production b. Derive expressions for the revenue and the profit when the widgets are sold at marginal cost.Network goods often have Ohigh fixed high variable low average low fixed costs.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)…
- Central Grocery in New Orleans is famous for its muffaletta, a large round sandwich filled with deli meats and topped with a tangy olive salad. Suppose the following table represents cost and revenue data for Central Grocery. Muffaletta Sold per Day Price (P) Total Revenue (TR) Marginal Revenue (MR) Total Cost (TC) Marginal Cost (MC) Average Total Cost (ATC) Profit 0 $15 $12 1 14 18 2 13 20 3 12 21 4 11 23 5 10 26 6 9 30 7 8 35 8 7 42 9 6 52 10 5 78 Fill in the table What are the profit-maximizing price and quantity, and what…c. Note that these results imply the marginal revenue, or marginal benefit, of website analysis is MB(X) = 11.09 − 0.2 × X and the marginal cost of website analysis is MC(X) = 0.21 × X. What level of website analysis will maximize net benefits? Round to the nearest hundredth.A company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs are $ 50,000. They will sell the CD's for $ 57 each. Let x be the number of CD's produced and sold. a. Write the total cost TC as a function of the number of CD's produced and sold. TC = $ b. Write the total revenue TR as a function of the number of CD's produced and sold. TR = $ c. Write the total net income NI as a function of the number of CD's produced and sold. NI = $ d. Find the number of CD's which must be produced and sold to breakeven. The number of CD's which must be produced and sold to breakeven is Round UP to the nearest whole number of CDs. Submit Question