A firm manufactures a product that sells for $25 per unit. Variable cost per unit is $2 and fixed cost per period is $1840. Capacity per period is 2000 units.(a) Develop an algebraic statement for the revenue function and the cost function.(b) Determine the number of units required to be sold to break even.(c) Compute the break-even point as a percent of capacity.(d) Compute the break-even point in sales dollars.

BREAKEVEN POINTBreak Even means the volume of production or sales where there is no profit or…

Answered: A firm manufactures a product that…

Principles of Cost Accounting

17th Edition

ISBN:9781305087408

Author:Edward J. Vanderbeck, Maria R. Mitchell

Publisher:Edward J. Vanderbeck, Maria R. Mitchell

Chapter10: Cost Analysis For Management Decision Making

Section: Chapter Questions

Problem 14E: A company has prepared the following statistics regarding its production and sales at different...

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Faldo Company produces a single product. The projected income statement for the coming year, based on sales of 200,000 units, is as follows: Required: 1. Compute the unit contribution margin and the units that must be sold to break even. Suppose that 30,000 units are sold above the break-even point. What is the profit? 2. Compute the contribution margin ratio and the break-even point in dollars. Suppose that revenues are 200,000 greater than expected. What would the total profit be? 3. Compute the margin of safety in sales revenue. 4. Compute the operating leverage. Compute the new profit level if sales are 20 percent higher than expected. 5. How many units must be sold to earn a profit equal to 10 percent of sales? 6. Assume the income tax rate is 40 percent. How many units must be sold to earn an after-tax profit of 180,000?
A company has prepared the following statistics regarding its production and sales at different capacity levels. Total costs: 1. At what point is break-even reached in sales dollars? In units? (Hint: Use the capacity level to determine the number of units.) 2. If the company is operating at 60% capacity, should it accept an offer from a customer to buy 10,000 units at 3 per unit?
A firm manufactures a product that sells for $16 per unit. Variable cost per unit is $8 and fixed cost per period is $1680. Capacity per period is 2200 units. (a) Develop an algebraic statement for the revenue function and the cost function. (b) Determine the number of units required to be sold to break even. (c) Compute the break-even point as a percent of capacity. (d) Compute the break-even point in sales dollars. (a) The revenue function is TR = (Type an expression using x as the variable. Do not include the $ symbol in your answer.) The cost function is TC = (Type an expression using x as the variable. Do not include the $ symbol in your answer.) (b) The number of units required to be sold to break even is| units. (Round up to the nearest whole number.) (c) The break-even point as a percent of capacity is%. (Round to two decimal places as needed.) (d) The break-even point in sales dollars is $ (Round to the nearest cent as needed.)
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) Compute the breakeven sales dollars of cach product assuming the same sales mix remains constant. b) Prepare an analysis showing whether Product Z should be eliminated. The amount of change to net income should be computed. c) Assume the current demand of cach product is same as the sales volume the company has for the year. Below is the machine processing time required for cach product. Product Machine processing time in hours i. How many units should the company produce for each product if there is a constraint of only 24.000 hours of machine processing time in the year. ii. Compute the highest possible net income camed by the company. 3 2 An accountant has prepared the folowing product-line income statement for the year: Product Tatal No of mts sokd 5,000 4,000 4,000 Saks Varible enpermes 200,000 S 120,000 100,000 S 60.000 40,000 S 20,000 60,000 40,000 20,000 Cotribution mangin 80,000 40,000 20,000 Fihed expenses Rert Depreciin 10,000 12,000 8,000 5.000 6,000 2,000 2,400 3,000…
Management believes it can sell a new product for $6.50. The fixed costs of production are estimated to be $5,500, and the variable costs are $2.50 a unit. Complete the following table at the given levels of output and the relationships between quantity and fixed costs, quantity and variable costs, and quantity and total costs. Round your answers to the nearest dollar. Enter zero if necessary. Use a minus sign to enter losses, if any. Quantity Total Revenue Variable Costs Fixed Costs Total Costs Profits (Losses) 0 $ $ $ $ $ 500 $ $ $ $ $ 1,000 $ $ $ $ $ 1,500 $ $ $ $ $ 2,000 $ $ $ $ $ 2,500 $ $ $ $ $ 3,000 $ $ $ $ $ Determine the break-even level using the above table and use the Exhibit 19.5 to confirm the break-even level of output. Round your answers for the break-even level to the nearest whole number. Round your answers for the fixed costs, variable costs, total costs,…
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?
P Company has provided the following data: Sales Price per unit: $50. Variable Cost per unit: $30; Fixed Cost: $135,000 Expected Sales: 20,000 units. a. What is the breakeven point in sales dollars? b. What is the break-even point in units? c. Calculate the expected profit.
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) =
A company produces and sells a product. The company has found that the costto produce x units of the product is given by C(x) = 50x + 200 (in dollars),and the revenue from selling x units is given by R(x) = 100x - x? (in dollars).What is the number of units the company should produce and sell to maximize profit
Suppose that a firm makes two products, A and B. The sales mix in units for the period is 70% for A and 30% for B. If the unit contribution margin for A is $8.83 and the unit contribution margin for B is $5.76, then the weighted-average unit contribution margin is: (Input your answer using two decimal places. Do not use commas or dollar signs. Don't round any intermediate calculations)
A firm manufactures a product that sells for $11per unit. Variable cost per unit is $6 and fixed cost per period is $1800. Capacity per period is 600units. Perform a break-even analysis showing a detailed break-even chart. *Find the revenue function, TR. TR=....... (Type an expression using x as the variable. Do not include the $ symbol in your answer.) *Find the cost function, TC. TC=....... (Type an expression using x as the variable. Do not include the $ symbol in your answer.) *Compute the break-even point in units. The break-even point is......units. (Round up to the nearest whole number.) *Find the break-even point in sales dollars. The break-even point in sales dollars is $...... (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)

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