Max X s.t. Regular % constraint 0 X DeCaf % constraint 0 X Pounds of Regular 800 X Pounds of DeCaf 300 X What is the optimal solution and what is the contribution to profit (in $)? (Round your contribution to profit to two decimal places.) (BR, BD, CR, CD) = X Profit $2338.60
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- A linear programming computer package is needed. Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company's needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows. Component Supplier 1 2 3 1 $11 $12 $13 2 $9 $10 $9 Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows. Supplier 1 2 3 Capacity 700 1,100 900 (a) If the Edwards production plan for the next period includes 1,100 units of component 1 and 900 units of component 2, what purchases do you recommend? That is,…A linear programming computer package is needed. Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company's needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows. Component Supplier 1 2 3 1 $13 $14 $15 2 $11 $12 $11 Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows. Supplier 1 2 3 Capacity 500 900 700 If the Edwards production plan for the next period includes 900 units of component 1 and 700 units of component 2, what purchases do you recommend? That is, how many…A linear programming computer package is needed. Frandec Company manufactures, assembles, and rebuilds material-handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec's production schedule calls for 4,500 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. Component Manufacturing Cost Purchase Cost Frame $39.00 $52.00 Support $12.50 $16.00 Strap $7.50 $8.50 Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows. Component Department Cutting Milling…
- A linear programming computer package is needed. Frandec Company manufactures, assembles, and rebuilds material-handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec's production schedule calls for 5,500 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. Component Manufacturing Cost Purchase Cost Frame $39.00 $52.00 Support $12.50 $16.00 Strap $7.50 $8.50 Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows. Component Department Cutting Milling…A linear programming computer package is needed. Frandec Company manufactures, assembles, and rebuilds material-handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec's production schedule calls for 5,500 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. Component Manufacturing Cost Purchase Cost Frame $39.00 $52.00 Support $12.50 $16.00 Strap $7.50 $8.50 Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows. Component Department Cutting Milling…A linear programming computer package is needed. The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown. Constraint Television Radio Online Audience per advertisement 400,000 72,000 160,000 Cost per advertisement $2,000 $300 $600 Maximum media usage 10 20 10 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. If the promotional budget is limited to $20,500, By how much would audience contact increase if an extra $100 were allocated to the promotional budget? (Round your answer to the nearest whole number.)
- Hi... I'm having trouble with the following: Min Jee wants to combine the sales data from each of the art fairs. Switch to the Combined Sales worksheet, and then update the worksheet as follows: In cell A5, enter a formula without using a function that references cell A5 in the Madison Copy the formula from cell A5 to the range A6:A8 without copying the formatting. In cell B5, enter a formula using the SUM function, 3-D references, and grouped worksheets that totals the values from cell B5 in the Chicago:Madison Copy the formula from cell B5 to the range B6:B8 without copying the formatting. Copy the formulas and the formatting from the range B5:B8 to the range C5:E8. (Hint: You can ignore the error about empty cells because Min Jee will enter the Madison sales data later.)**FINITE MATH** CHAPTER: NON STANDARD PROBLEM Explain in your own words when the variables (slack, surplus, and artificial) are required.What branches typically use linear programming?
- Linear programming formulation. Kindly define the notations clearly for better understandingLa Jolla Beverage Products is considering producing a wine cooler that would be a blend of a white wine, a rose wine, and fruit juice. To meet taste specifications, the wine cooler must consist of at least 45% white wine, at least 25% and no more than 35% rose, and exactly 25% fruit juice. La Jolla purchases the wine from local wineries and the fruit juice from a processing plant in San Francisco. For the current production period, 10000 gallons of white wine and 6500 gallons of rose wine can be purchased; an unlimited amount of fruit juice can be ordered. The costs for the wine are $1 per gallon for the white and $1.5 per gallon for the rose; the fruit juice can be purchased for $0.5 per gallon. La Jolla Beverage Products can sell all of the wine cooler it can produce for $2.5 per gallon. Is the cost of the wine and fruit juice a sunk cost or a relevant cost in this situation? Formulate a linear program to determine the blend of the three ingredients that will maximize the total…Each robot takes up a square area of 10 feet aside. To the left and to the right of each robot along each side are areas for work-in-process inventory that are 6 feet wide x 10 feet long, with the long side adjacent to the robot space. Robots are arranged on an aisle that is 14 feet wide; the area in the plant for the robots is rectangular, 212 feet long, and includes 20 feet and each end for lift trucks. Lift trucks are used to move work–in–process inventory and must be able to get to the robots from aisles on both sides. Assuming that 20 robots are needed, determine the area for robots, inventory control, and material handling. The outgoing inventory pallets are 6 feet x 8 feet high, and they can be stacked thee high. Outgoing inventory is kept for a minimum of two days. In addition to access for lift trucks, determine the amount of storage space that must be provided for these pallets.