Sales price per unit 1,800 Variable costs per unit (a) Total fixed costs 232,200 Target profit 486,000 Contribution margin per unit 540 Contribution margin ratio (b) Required units to break even (c) Required sales dollars to break even (d) Required units to achieve target profit (e) %24
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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?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.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.
- Calculate the per-unit contribution margin of a product that has a sale price of $200 if the variable costs per unit are $65.A company sells two products, Model 101 and Model 202. For every one unit of Model 101, they sell they sell two units of Model 202. Sales and cost information for the two products is shown. What is the contribution margin for a composite unit based on the sales mix? $14 $21 $35 $56A 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 product has a sales price of $250 and a per-unit contribution margin of $75. What is the contribution margin ratio?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.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)
- Compute the missing amounts. (Enter the contribution margin ratio to nearest percent, X%.) A Sale price per unit $2,100 Variable costs per unit 840 Total fixed costs 1,045,800 Target profit 1,600,200 Calculate: Contribution margin per unit Contribution margin ratio % Required units to break even Required sales dollars to break even Required units to achieve target profitConsider the following information: Contribution to Sales (C/S) Ratio = 25% Selling Price per unit = K70 Total Fixed Costs = K140,000 Required: Calculate Contribution per Unit Variable cost per Unit Break Even Point in Quantity and Sales value termsComplete the table below for contribution margin per unit, total contribution margin, and contribution margin ratio: LOADING... (Click the icon to view the table.) Compute the missing information, starting with scenario A, then for scenarios B and C. (Enter the contribution margin ratio to nearest percent, X%.) A Number of units 2,833 units Sale price per unit $200 Variable costs per unit 80 Calculate: Contribution margin per unit Total contribution margin Contribution margin ratio % Data Table A B C Number of units 2,833 units 3,100 units 5,600 units Sale price per unit $200 $3,000 $125 Variable costs per unit 80 1,500 100 Calculate: Contribution margin per unit Total contribution margin Contribution margin ratio