If the maximum daily demand for enamel paint is at 2 tons, determine the production output that would maximize the profit. Find the optimal solution using the simplex method.
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Find the optimal solution using the simplex method.
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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?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.Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of 300 and 600, respectively. Assume initially that Patz can sell all that is produced of either component. Part A requires two hours of assembly, and B requires five hours of assembly. The firm has 300 assembly hours per week. Required: 1. Express the objective of maximizing the total contribution margin subject to the assembly-hour constraint. 2. Identify the optimal amount that should be produced of each machine part and the total contribution margin associated with this mix. 3. What if market conditions are such that Patz can sell at most 75 units of Part A and 60 units of Part B? Express the objective function with its associated constraints for this case and identify the optimal mix and its associated total contribution margin.
- Eagle Brand Inc. produces two products as follows: Eagle Brand has 1,000 lbs. of raw materials that can be used to produce Products X and Y. Which of the following alternatives should Eagle Brand accept to maximize the contribution margin? a. 100 units of Product Y. b. 250 units of Product X. c. 200 units of Product X and 20 units of Product Y. d. 200 units of Product X and 50 units of Product Y.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?
- Bethany Company has just completed the first month of producing a new product but has not yet shipped any of this product. The product incurred variable manufacturing costs of 5,000,000, fixed manufacturing costs of 2,000,000, variable marketing costs of 1,000,000, and fixed marketing costs of 3,000,000. Under the variable costing concept, the inventory value of the new product would be: a. 5,000,000. b. 6,000,000. c. 8,000,000. d. 11,000,000.Ottis, Inc., uses 640,000 plastic housing units each year in its production of paper shredders. The cost of placing an order is 30. The cost of holding one unit of inventory for one year is 15.00. Currently, Ottis places 160 orders of 4,000 plastic housing units per year. Required: 1. Compute the economic order quantity. 2. Compute the ordering, carrying, and total costs for the EOQ. 3. How much money does using the EOQ policy save the company over the policy of purchasing 4,000 plastic housing units per order?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?
- Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: The shaper is available for 120 hours, and the grinder for 110 hours. No more than 200 units of component 3 can be sold, but up to 1,000 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are 8, 6, and 9, respectively. a. Formulate and solve for the recommended production quantities. b. What are the objective coefficient ranges for the three components? Interpret these ranges for company management. c. What are the right-hand-side ranges? Interpret these ranges for company management. d. If more time could be made available on the grinder, how much would it be worth? e. If more units of component 3 can be sold by reducing the sales price by 4, should the company reduce the price?Mercury Bowie Sdn Bhd manufactures two products, the Y and the Z, which have the following standard selling price and standard costs per unit. Y Z RM RM Standard Selling Price 110 118 Direct Materials (RM4 per kg) 32 16 Direct Labour (RM10 per direct labour hour) 60 80 Variables Overhead (RM1 per machine hour) 4 6 During the next accounting period, the availability of resources are expected to be subjects to the following limitations: Direct Materials 3440 kg Direct Labour Hours 2880 hours Machine capacity 2760 hours The marketing department estimated that the maximum sales potential for product Y is limited to 420 units. There is no sales limitation for product Z. You are asked to advise how these limited facilities and resources can best be used so as to gain the optimum benefit from them. Required: a.Determine by graphical means the optimal mix of Y and Z at Mercury Bowie Bhd Sdn…Mercury Bowie Sdn Bhd manufactures two products, the Y and the Z, which have the following standard selling price and standard costs per unit. Y Z RM RM Standard Selling Price 110 118 Direct Materials (RM4 per kg) 32 16 Direct Labour (RM10 per direct labour hour) 60 80 Variables Overhead (RM1 per machine hour) 4 6 During the next accounting period, the availability of resources are expected to be subjects to the following limitations: Direct Materials 3440 kg Direct Labour Hours 2880 hours Machine capacity 2760 hours The marketing department estimated that the maximum sales potential for product Y is limited to 420 units. There is no sales limitation for product Z. You are asked to advise how these limited facilities and resources can best be used so as to gain the optimum benefit from them. Required: a. Determine by graphical means the optimal mix of Y and Z at Mercury Bowie Bhd Sdn…