Head-First Company plans to sell 5,000 bicycle helmets at $75 each in the coming year. Unit variable cost is $45 (includes direct materials, direct labor, variable factory overhead, and variable selling expense). Total fixed cost equals $49,500 (includes fixed factory overhead and fixed selling and administrative expense). Required: 1. Calculate the number of helmets Head-First must sell to earn operating income of $81,900. 2. Check your answer by preparing a contribution margin income statement based on the number of units calculated.
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- Dimitri Designs has capacity to produce 30,000 desk chairs per year and is currently selling all 30,000 for $240 each. Country Enterprises has approached Dimitri to buy 800 chairs for $210 each. Dimitris normal variable cost is $165 per chair, including $50 per unit in direct labor per chair. Dimitri can produce the special order on an overtime shift, which means that direct labor would be paid overtime at 150% of the normal pay rate. The annual fixed costs will be unaffected by the special order and the contract will not disrupt any of Dimitris other operations. What will be the impact on profits of accepting the order?Bobcat uses a traditional cost system and estimates next years overhead will be $800.000, as driven by the estimated 25,000 direct labor hours. It manufactures three products and estimates the following costs: If the labor rate is $30 per hour, what is the per-unit cost of each product?Cadre, Inc., sells a single product with a selling price of $120 and variable costs per unit of $90. The companys monthly fixed expenses are $180,000. What is the companys break-even point in units? What is the companys break-even point in dollars? Prepare a contribution margin income statement for the month of October when they will sell 10,000 units. How many units will Cadre need to sell in order to realize a target profit of $300,000? What dollar sales will Cadre need to generate in order to realize a target profit of $300,000? Construct a contribution margin income statement for the month of August that reflects $2,400,000 in sales revenue for Cadre, Inc.
- Maple Enterprises sells a single product with a selling price of $75 and variable costs per unit of $30. The companys monthly fixed expenses are $22,500. What is the companys break-even point in units? What is the companys break-even point in dollars? Construct a contribution margin income statement for the month of September when they will sell 900 units. How many units will Maple need to sell in order to reach a target profit of $45,000? What dollar sales will Maple need in order to reach a target profit of $45,000? Construct a contribution margin income statement for Maple that reflects $150,000 in sales volume.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.Gent Designs requires three units of part A for every unit of Al that it produces. Currently, part A is made by Gent, with these per-unit costs in a month when 4.000 units were produced: Variable manufacturing overhead is applied at $1.00 per unit. The other $0.30 of overhead consists of allocated fixed costs. Gent will need 6,000 units of part A for the next years production. Cory Corporation has offered to supply 6,000 units of part A at a price of $7.00 per unit. It Gent accepts the offer, all of the variable costs and $1,200 of the fixed costs will be avoided. Should Gent Designs accept the offer from Cory Corporation?
- Kerr Manufacturing sells a single product with a selling price of $600 with variable costs per unit of $360. The companys monthly fixed expenses are $72,000. What is the companys break-even point in units? What is the companys break-even point in dollars? Prepare a contribution margin income statement for the month of January when they will sell 500 units. How many units will Kerr need to sell in order to realize a target profit of $120,000? What dollar sales will Kerr need to generate in order to realize a target profit of $120,000? Construct a contribution margin income statement for the month of June that reflects $600,000 in sales revenue for Kerr Manufacturing.Colonels uses a traditional cost system and estimates next years overhead will be $480,000, with the estimated cost driver of 240,000 direct labor hours. It manufactures three products and estimates these costs: If the labor rate is $25 per hour, what is the per-unit cost of each product?Keleher Industries manufactures pet doors and sells them directly to the consumer via their web site. The marketing manager believes that if the company invests in new software, they will increase their sales by 10%. The new software will increase fixed costs by $400 per month. Prepare a forecasted contribution margin income statement for Keleher Industries reflecting the new software cost and associated increase in sales. The previous annual statement is as follows:
- Sales Needed to Earn Target Income Chillmax Company plans to sell 3,500 pairs of shoes at 60 each in the coming year. Variable cost is 35% of the sales price; contribution margin is 65% of the sales price. Total fixed cost equals 78,000 (includes fixed factory overhead and fixed selling and administrative expense). Required: 1. Calculate the sales revenue that Chillmax must make to earn operating income of 81,900 by using the point in sales equation. 2. Check your answer by preparing a contribution margin income statement based on the sales dollars calculated in Requirement 1.Company A wants to earn $5,000 profit in the month of January. If their fixed costs are $10,000 and their product has a per-unit contribution margin of $250, how many units must they sell to reach their target income? A.20 B. 40 C. 60 D. 120Power Corp. makes 2 products: blades for table saws and blades for handsaws. Each product passes through the sharpening machine area, which is the chief constraint during production. Handsaw blades take 15 minutes on the sharpening machine and have a contribution margin per blade of $15. Table saw blades take 20 minutes on the sharpening machine and have a contribution margin per blade of $35. If it is assumed that Power Corp. has 5,000 hours available on the sharpening machine to service a minimum demand for each product of 4,000 units, how much will profits increase if 200 more hours of machine time can be obtained?