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- For a certain company, the cost function for producing x items is C(x)=40x+200, and the revenue function for selling x items in R(x)=−0.5(x−80)2+3,200. The maximum capacity of the company is 110 items. The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!Assuming that the company sells all that it produces, what is the profit function?P(x)= Preview Change entry mode . Hint: Profit = Revenue - Cost as we examined in Discussion 3. What is the domain of P(x)?Hint: Does calculating P(x) make sense when x=−10 or x=1,000? The company can choose to produce either 40 or 50 items. What is their profit for each case, and which level of production should they choose?Profit when producing 40 items = Number Profit when producing 50 items = Number Can you explain, from our model, why the company makes less profit…The total revenue function for a product is given by R=805 x dollars, and the total cost function for this same product is given by c=24500+70x+x square, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 26 units are produced and sold? c. What is the profit when 40 units are produced and sold? d. How many units must be sold to break even on this product?Assume that the linear cost and revenue models apply. An item costs $13 to make. If fixed costs are $1600 and profits are $5700 when 100 items are made and sold, find the revenue equation. (Let x be the number of items.)R(x) =
- A manufacturer has a monthly fixed cost of $87,500 and a production cost of $15 for each unit produced. The product sells for $20/unit. (a) What is the cost function? CX) (b) What is the revenue function? R(x) - (c) What is the profit function? Px) - (d) Compute the profit (loss) corresponding to production levels of 15,000 and 20,000 units. (Input a negative value to indicate a loss) PL1S,000)- P(20,000) =NAPOLEN SALES REVENUE IS $ 500000 , VARIABLE COST IS 20000 , FIXED C OST FOR THE YEAR IS $ 50000 SHOW THE NET PROFIT IN THE INCOME STATEMENT19) Sales Revenue is $ 850000, variable cost is $ 200000 and fixed costs are $ 300000 Required: Net income in to be prepared in the table format.
- Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be MC=q+35 MR=560+22q-q^2 Where q is the quantity produced and the firm’s break-even is 5 units per week You are Required to I. determine the total cost and the total revenue function in terms of q. II. estimate the output at which profit is maximize III. calculate the maximum profitProfit Functions A company has a fixed cost of $26,000 and a production cost of $5 for each unit it manufactures. A unit sells for $10. Find the following functions (in dollars). (a) What is the cost function? C(x) = (b) What is the revenue function? R(x) = (c) What is the profit function? P(x) = (d) Compute the profit (loss), in dollars, corresponding to the following production levels. P(5,500) =$ P(8,800) =$ P(12,100) =$The selling price of a particular product is $81.00 per unit, the variable expense is $55.00 per unit, and the breakeven sales in dollars is $243,000, what are the total fixed expenses?
- Using the data below compute of the following: Contribution margin per unit in 3. 2018, 4. 2019 5. 2020 BEP in sales units in 6. 2018 7. 2019 8. 2020 BEP in peso sales in 9. 2018 10. 2019 11. 2020 What is the required sales in unit for the desired Net profit 12. 2018 13. 2019 14. 2020 2018 2019 2020 Sales per unit Desired profit Fixed costs. P7.50 P9.00 P10.00 P15,000 P28,000 P30,000 360,000 375,000 420,000 Variable cost Cost per unit: Variable cost 2.50 4.00 4.00What is the breakeven sales in dollars if : Total sales, $120,000; Total variable cost, $ 48,000; Operating income, $12,000.A business has selling price of P 129.50 with an average variable cost of P 54.40. Fixed costs are P 1,400,000. Calculate the following: What is the breakeven sales revenue? Use 2 decimal places in computing CM Ratio (Answer the figures only; no decimal places)