Ptarmigan Company produces two products. Product A has a contribution margin of $80.00 and requires 8 machine hours. Product B has a contribution margin of $29.40 and requires 3 machine hours. Determine the most profitable product assuming the machine hours are the constraint. If required, round your answers to two decimal places. Contribution margin per machine hour: Product A Product B Product is the most profitable.
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- 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?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?
- 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.Rose Company has a relevant range of production between 10,000 and 25.000 units. The following cost data represents average cost per unit for 15,000 units of production. Using the cost data from Rose Company, answer the following questions: If 10,000 units are produced, what is the variable cost per unit? If 18,000 units are produced, what is the variable cost per unit? If 21,000 units are produced, what are the total variable costs? If 11,000 units are produced, what are the total variable costs? If 19,000 units are produced, what are the total manufacturing overhead costs incurred? If 23,000 units are produced, what are the total manufacturing overhead costs incurred? If 19,000 units are produced, what are the per unit manufacturing overhead costs incurred? If 25,000 units are produced, what are the per unit manufacturing overhead costs incurred?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?