Based on the following data, illustrate the break-even point by preparing a cost-volume-profit graph: Fixed cost: $4,500 Variable cost: $9 Selling price: $15
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Based on the following data, illustrate the break-even point by preparing a cost-volume-profit graph:
Fixed cost: $4,500
Variable cost: $9
Selling price: $15
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- Calculate the per-unit contribution margin of a product that has a sale price of $350 if the variable costs per unit are $95.A product has a sales price of $150 and a per-unit contribution margin of $50. What is the contribution margin ratio?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?
- Contribution Margin Ratio, Break-Even Sales, Operating Leverage Elgart Company produces plastic mailboxes. The projected income statement for the coming year follows: Required: 1. Compute the contribution margin ratio for the mailboxes. 2. How much revenue must Elgart earn in order to break even? 3. What is the effect on the contribution margin ratio if the unit selling price and unit variable cost each increase by 15%? 4. CONCEPTUAL CONNECTION Suppose that management has decided to give a 4% commission on all sales. The projected income statement does not reflect this commission. Recompute the contribution margin ratio, assuming that the commission will be paid. What effect does this have on the break-even point? 5. CONCEPTUAL CONNECTION If the commission is paid as described in Requirement 4, management expects sales revenues to increase by 80,000. How will this affect operating leverage? Is it a sound decision to implement the commission? Support your answer with appropriate computations.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?Grand Canyon Manufacturing Inc. produces and sells a product with a price of 100 per unit. The following cost data have been prepared for its estimated upper and lower limits of activity: Overhead: Selling and administrative expenses: Required: 1. Classify each cost element as either variable, fixed, or semi-variable. (Hint: Recall that variable expenses must go up in direct proportion to changes in the volume of activity.) 2. Calculate the break-even point in units and dollars. (Hint: First use the high-low method illustrated in Chapter 4 to separate costs into their fixed and variable components.) 3. Prepare a break-even chart. 4. Prepare a contribution income statement, similar in format to the statement appearing on page 540, assuming sales of 5,000 units. 5. Recompute the break-even point in units, assuming that variable costs increase by 20% and fixed costs are reduced by 50,000.
- 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?When prices are falling (deflation), which costing method would produce the highest gross margin for the following? Choose first-in, first-out (FIFO); last-in, first-out (LIFO); or weighted average, assuming that B62 Company had the following transactions for the month. Calculate the gross margin for each of the following cost allocation methods, assuming B62 sold just one unit of these goods for $400. Provide your calculations. A. first-in, first-out (FIFO) B. last-in, first-out (LIFO) C. weighted average (AVG)Lotts Company produces and sells one product. The selling price is 10, and the unit variable cost is 6. Total fixed cost is 10,000. Required: 1. Prepare a CVP graph with Units Sold as the horizontal axis and Dollars as the vertical axis. Label the break-even point on the horizontal axis. 2. Prepare CVP graphs for each of the following independent scenarios: (a) Fixed cost increases by 5,000, (b) Unit variable cost increases to 7, (c) Unit selling price increases to 12, and (d) Fixed cost increases by 5,000 and unit variable cost is 7.
- Suppose that a company has fixed costs of $11 per unit and variable costs $6 per unit when 11,000 units are produced. What are the fixed costs per unit when 20,000 units are produced?Baxter Company has a relevant range of production between 15,000 and 30,000 units. The following cost data represents average variable costs per unit for 25,000 units of production. Using the costs data from Rose Company, answer the following questions: A. If 15,000 units are produced, what is the variable cost per unit? B. If 28,000 units are produced, what is the variable cost per unit? C. If 21,000 units are produced, what are the total variable costs? D. If 29,000 units are produced, what are the total variable costs? E. If 17,000 units are produced, what are the total manufacturing overhead costs incurred? F. If 23,000 units are produced, what are the total manufacturing overhead costs incurred? G. If 30,000 units are produced, what are the per unit manufacturing overhead costs incurred? H. If 15,000 units are produced, what are the per unit manufacturing overhead costs incurred?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.
