Globle ftd. incurs a $18 per pound cost to produce Product ft, which it then sells for $28 per pound. The company can further process Product A to produce Product B. Product B would sell for $34 per pound and would require an additional cost of $12 per pound to be produced. The differential revenue of producing Product B is.

Globle ftd. incurs a $18 per pound cost to produce Product ft, which it then sells for $28 per pound. The company can further process Product A to produce Product B. Product B would sell for $34 per pound and would require an additional cost of $12 per pound to be produced. The differential revenue of producing Product B is.

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter13: Nonlinear Optimization Models

Section: Chapter Questions

Problem 4P: The profit function for two products is: Profit3x12+42x13x22+48x2+700, where x1 represents units of...

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The profit function for two products is: Profit3x12+42x13x22+48x2+700, where x1 represents units of production of product 1, and x2 represents units of production of product 2. Producing one unit of product 1 requires 4 labor-hours, and producing one unit of product 2 requires 6 labor-hours. Currently, 24 labor-hours are available. The cost of labor-hours is already factored into the profit function, but it is possible to schedule overtime at a premium of 5 per hour. a. Formulate an optimization problem that can be used to find the optimal production quantity of products 1 and 2 and the optimal number of overtime hours to schedule. b. Solve the optimization model you formulated in part (a). How much should be produced and how many overtime hours should be scheduled?
Delta Co. sells a product for $150 per unit. The variable cost per unit is $90 and fixed costs are $15,250. Delta Co.s tax rate is 36% and the company wants to earn $44,000 after taxes. What would be Deltas desired pre-tax income? What would be break-even point in units to reach the income goal of $44,000 after taxes? What would be break-even point in sales dollars to reach the income goal of $44000 after taxes? Create a contribution margin income statement to show that the break-even point calculated in B, generates the desired after-tax income.
Manatoah Manufacturing produces 3 models of window air conditioners: model 101, model 201, and model 301. The sales price and variable costs for these three models are as follows: The current product mix is 4:3:2. The three models share total fixed costs of $430,000. Calculate the sales price per composite unit. What is the contribution margin per composite unit? Calculate Manatoahs break-even point in both dollars and units. Using an income statement format, prove that this is the break-even point.
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?
Polaris Inc. manufactures two types of metal stampings for the automobile industry: door handles and trim kits. Fixed cost equals 146,000. Each door handle sells for 12 and has variable cost of 9; each trim kit sells for 8 and has variable cost of 5. Required: 1. What are the contribution margin per unit and the contribution margin ratio for door handles and for trim kits? 2. If Polaris sells 20,000 door handles and 40,000 trim kits, what is the operating income? 3. How many door handles and how many trim kits must be sold for Polaris to break even? 4. CONCEPTUAL CONNECTION Assume that Polaris has the opportunity to rearrange its plant to produce only trim kits. If this is done, fixed costs will decrease by 35,000, and 70,000 trim kits can be produced and sold. Is this a good idea? Explain.
Morris Industries manufactures and sells three products (AA, BB, and CC). The sales price and unit variable cost for the three products are as follows: Their sales mix s reflected as a ratio of 5:3:2. Annual fixed costs shared by the three products are $25,000 per year. What are total variable costs for Morris with their current product mix? Calculate the number of units of each product that will need to be sold in order for Morris to break even. What is their break-even point in sales dollars? Using an income statement format, prove that this is the break-even point.
Calculate the per-unit contribution margin of a product that has a sale price of $200 if the variable costs per unit are $65.
Salvador Manufacturing builds and sells snowboards, skis and poles. The sales price and variable cost for each follows: Their sales mix is reflected in the ratio 7:3:2. If annual fixed costs shared by the three products are $196,200, how many units of each product will need to be sold in order for Salvador to break even?
Emerald Island Company is considering building a manufacturing plant in County Kerry. Predicting sales of 100,000 units, Emerald Isle estimates the following expenses: An Irish firm that specializes in marketing will be engaged to sell the manufactured product and will receive a commission of 10% of the sales price. None of the U.S. home office expense will be allocated to the Irish facility. Required: 1. If the unit sales price is 2, how many units must be sold to break even? (Hint: First compute the variable cost per unit.) 2. Calculate the margin of safety ratio. 3. Calculate the contribution margin ratio.
Burnham Industries incurs these costs for the month: A. What Is the prime cost? B. What is the conversion cost?
Schylar Pharmaceuticals, Inc., plans to sell 130,000 units of antibiotic at an average price of 22 each in the coming year. Total variable costs equal 1,086,800. Total fixed costs equal 8,000,000. (Round all ratios to four significant digits, and round all dollar amounts to the nearest dollar.) Required: 1. What is the contribution margin per unit? What is the contribution margin ratio? 2. Calculate the sales revenue needed to break even. 3. Calculate the sales revenue needed to achieve a target profit of 245,000. 4. What if the average price per unit increased to 23.50? Recalculate: a. Contribution margin per unit b. Contribution margin ratio (rounded to four decimal places) c. Sales revenue needed to break even d. Sales revenue needed to achieve a target profit of 245,000
Abilene Industries manufactures and sells three products (XX, W, and ZZ). The sales price and unit variable cost for the three products are as follows: Their sales mix is reflected as a ratio of 4:2:1. Annual fixed costs shared by the three products are $345.000 per year. What are total variable costs for Abilene with their current product mix? Calculate the number of units of each product that will need to be sold in order for Abilene to break even. What is their break-even point in sales dollars? Using an income statement format, prove that this is the break-even point.