Flexmatrixs deals with different types of iron rods which has 6,900 machine hours available each month. Product 1 Product 2 Product 3 Contribution margin per unit 17.30 20.30 9.8 Machine hours per unit 4.00 3.00 2.00 The market demand is limited to 2,850 units of each of the three products. What is the maximum possible contribution margin that the company could make in any month?
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- Power 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?Power 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 many of each product should be made?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?
- Remarkable Enterprises requires four units of part A for every unit of Al that it produces. Currently, part A is made by Remarkable, with these per-unit costs in a month when 4,000 units were produced: Variable manufacturing overhead is applied at $1.60 per unit. The other $0.50 of overhead consists of allocated fixed costs. Remarkable will need 8,000 units of part A for the next years production. Altoona Corporation has offered to supply 8,000 units of part A at a price of $8.00 per unit. If Remarkable accepts the offer, all of the variable costs and $2,000 of the fixed costs will be avoided. Should Remarkable accept the offer from Altoona Corporation?Hatch Manufacturing produces multiple machine parts. The theoretical cycle time for one of its products is 65 minutes per unit. The budgeted conversion costs for the manufacturing cell dedicated to the product are 12,960,000 per year. The total labor minutes available are 1,440,000. During the year, the cell was able to produce 0.6 units of the product per hour. Suppose also that production incentives exist to minimize unit product costs. Required: 1. Compute the theoretical conversion cost per unit. 2. Compute the applied conversion cost per minute (the amount of conversion cost actually assigned to the product). 3. Discuss how this approach to assigning conversion cost can improve delivery time performance. Explain how conversion cost acts as a performance driver for on-time deliveries.A company produces two products. E and F in batches of 100 units. The production and cost data are: The company can only perform 12,000 set-ups each period yet there is unlimited demand for each product. What is the differential profit from producing product E instead of product F for the year? A. $216,000 B. $204,000 C. $12,000 D. $54,000
- Carltons Kitchens makes two types of pasta makers: Strands and Shapes. The company expects to manufacture 70,000 units of Strands, which has a per-unit direct material cost of $10 and a per-unit direct labor cost of $60. It also expects to manufacture 30.000 units of Shapes, which has a per-unit material cost of $15 and a per-unit direct labor cost of $40. It is estimated that Strands will use 140,000 machine hours and Shapes will require 60,000 machine hours. Historically, the company has used the traditional allocation method and applied overhead at a rate of $21 per machine hour. It was determined that there were three cost pools, and the overhead for each cost pool is shown: The cost driver for each cost pool and its expected activity is shown: A. What is the per-unit cost for each product under the traditional allocation method? B. What is the per-unit cost for each product under ABC costing?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?A company sells small motors as a component part to automobiles. The Model 101 motor sells for $850 and has per-unit variable costs of $400 associated with its production. The company has fixed expenses of $90,000 per month. In August, the company sold 425 of the Model 101 motors. A. Calculate the contribution margin per unit for the Model 101. B. Calculate the contribution margin ratio of the Model 101. C. Prepare a contribution margin income statement for the month of August.
- Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are 25 for product 1, 28 for product 2, and 30 for product 3. a. Formulate a linear programming model for maximizing total profit contribution. b. Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution? c. After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are 400 for product 1, 550 for product 2, and 600 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution after taking into account the setup costs? d. Management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part (b). Formulate a mixed-integer linear program that takes setup costs provided in part (c) into account. Management also stated that we should not consider making more than 175 units of product 1, 150 units of product 2, or 140 units of product 3. e. Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced and what is the projected total profit contribution? Compare this profit contribution to that obtained in part (c).Bountiful Manufacturing produces two types of bike frames (Frame X and Frame Y). Frame X passes through four processes: cutting, welding, polishing, and painting. Frame Y uses three of the same processes: cutting, welding, and painting. Each of the four processes employs 10 workers who work eight hours each day. Frame X sells for 40 per unit, and Frame Y sells for 55 per unit. Materials is the only unit-level variable expense. The materials cost for Frame X is 20 per unit, and the materials cost for Frame Y is 25 per unit. Bountifuls accounting system has provided the following additional information about its operations and products: Bountifuls management has determined that any production interruptions can be corrected within two days. Required: 1. Assuming that Bountiful can meet daily market demand, compute the potential daily profit. Now, compute the minutes needed for each process to meet the daily market demand. Can Bountiful meet daily market demand? If not, where is the bottleneck? Can you derive an optimal mix without using a graphical solution? If so, explain how. 2. Identify the objective function and the constraints. Then, graph the constraints facing Bountiful. Determine the optimal mix and the maximum daily contribution margin (throughput). 3. Explain how a drum-buffer-rope system would work for Bountiful. 4. Suppose that the Engineering Department has proposed a process design change that will increase the polishing time for Frame X from 15 to 23 minutes per unit and decrease the welding time from 15 minutes to 10 minutes per unit (for Frame X). The cost of process redesign would be 10,000. Evaluate this proposed change. What step in the TOC process does this proposal represent?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?