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Solve the quantitative analysis problem from the picture below:
Formulas:
BEP : Fixed cost / (selling price per unit)-(variable cost per unit)
: f / s - v
profit : sX - f - vX
(selling price per unit)(number of units sold) - [fixed cost + ( variable costs per unit)(number of units sold)]
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- Shelby Industries has a capacity to produce 45.000 oak shelves per year and is currently selling 40,000 shelves for $32 each. Martin Hardwoods has approached Shelby about buying 1,200 shelves for a new project and is willing to pay $26 each. The shelves can be packaged in bulk; this saves Shelby $1.50 per shelf compared to the normal packaging cost. Shelves have a unit variable cost of $27 with fixed costs of $350,000. Because the shelves dont require packaging, the unit variable costs for the special order will drop from $27 per shelf to $25.50 per shelf. Shelby has enough idle capacity to accept the contract. What is the minimum price per shelf that Shelby should accept for this special order?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?Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here. The cost of producing Q1 chairs at Aynor is: 75Q1+5Q12+100 and the cost of producing Q2 kitchen chairs at Spartanburg is: 25Q2+2.5Q22+150. Andalus needs to manufacture a total of 40 kitchen chairs to meet an order just received. How many chairs should be made at Aynor, and how many should be made at Spartanburg in order to minimize total production cost?
- 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.Country Diner currently makes cookies for its boxed lunches. It uses 40,000 cookies annually in the production of the boxed lunches. The costs to make the cookies are: A potential supplier has offered to sell Country Diner the cookies for $0.85 each. If the cookies are purchased, 10% of the fixed overhead could be avoided. If Jason accepts the offer, what will the effect on profit be?Jansen Crafters has the capacity to produce 50,000 oak shelves per year and is currently selling 44,000 shelves for $32 each. Cutrate Furniture approached Jansen about buying 1,200 shelves for bookcases it is building and is willing to pay $26 for each shelf. No packaging will be required for the bulk order. Jansen usually packages shelves for Home Depot at a price of $1.50 per shell. The $1.50 per-shelf cost is included in the unit variable cost of $27, with annual fixed costs of $320.000. However, the $130 packaging cost will not apply in this case. The fixed costs will be unaffected by the special order and the company has the capacity to accept the order. Based on this information, what would be the profit if Jansen accepts the special order? A. Profits will decrease by $1,200. B. Profits will increase by $31,200. C. Profits will increase by $600. D. Profits will increase by $7,200.
- Oat Treats manufactures various types of cereal bars featuring oats. Simmons Cereal Company has approached Oat Treats with a proposal to sell the company its top selling oat cereal bar at a price of $27,500 for 20,000 bars. The costs shown are associated with production of 20,000 oat bars currently. The manufacturing overhead consists of $3,000 of variable costs with the balance being allocated to fixed costs. Should Oat Treats make or buy the oat bars?Kelson Sporting Equipment, Inc., makes two types of baseball gloves: a regular model and a catchers model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Assuming that the company is interested in maximizing the total profit contribution, answer the following: a. What is the linear programming model for this problem? b. Develop a spreadsheet model and find the optimal solution using Excel Solver. How many of each model should Kelson manufacture? c. What is the total profit contribution Kelson can earn with the optimal production quantities? d. How many hours of production time will be scheduled in each department? e. What is the slack time in each department?Variety Artisans has a bottleneck in their production that occurs within the engraving department. Arjun Naipul, the COO, is considering hiring an extra worker, whose salary will be $45,000 per year, to solve the problem. With this extra worker, the company could produce and sell 3,500 more units per year. Currently, the selling price per unit is $18 and the cost per unit is $5.85. Using the information provided, calculate the annual financial impact of hiring the extra worker.
- Brahma Industries sells vinyl replacement windows to home improvement retailers nationwide. The national sales manager believes that if they invest an additional $25,000 in advertising, they would increase sales volume by 10,000 units. Prepare a forecasted contribution margin income statement for Brahma if they incur the additional advertising costs, using this information:Rolertyme Company manufactures roller skates. With the exception of the rollers, all parts of the skates are produced internally. Neeta Booth, president of Rolertyme, has decided to make the rollers instead of buying them from external suppliers. The company needs 100,000 sets per year (currently it pays 1.90 per set of rollers). The rollers can be produced using an available area within the plant. However, equipment for production of the rollers would need to be leased (30,000 per year lease payment). Additionally, it would cost 0.50 per machine hour for power, oil, and other operating expenses. The equipment will provide 60,000 machine hours per year. Direct material costs will average 0.75 per set, and direct labor will average 0.25 per set. Since only one type of roller would be produced, no additional demands would be made on the setup activity. Other overhead activities (besides machining and setups), however, would be affected. The companys cost management system provides the following information about the current status of the overhead activities that would be affected. (The supply and demand figures do not include the effect of roller production on these activities.) The lumpy quantity indicates how much capacity must be purchased should any expansion of activity supply be needed. The purchase price is the cost of acquiring the capacity represented by the lumpy quantity. This price also represents the cost of current spending on existing activity supply (for each block of activity). Production of rollers would place the following demands on the overhead activities: Producing the rollers also means that the purchase of outside rollers will cease. Thus, purchase orders associated with the outside acquisition of rollers will drop by 5,000. Similarly, the moves for the handling of incoming orders will decrease by 200. The company has not inspected the rollers purchased from outside suppliers. Required: 1. Classify all resources associated with the production of rollers as flexible resources and committed resources. Label each committed resource as a short- or long-term commitment. How should we describe the cost behavior of these short- and long-term resource commitments? Explain. 2. Calculate the total annual resource spending (for all activities except for setups) that the company will incur after production of the rollers begins. Break this cost into fixed and variable activity costs. In calculating these figures, assume that the company will spend no more than necessary. What is the effect on resource spending caused by production of the rollers? 3. Refer to Requirement 2. For each activity, break down the cost of activity supplied into the cost of activity output and the cost of unused activity.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: