Why Modifying the objective function is required?
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Why Modifying the objective function is required?
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- Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?What is Linear programming model? * This is a required question What is Linear functions? * What is Feasible region? * What is a Constraint? * What is Nonnegativity constraints? * What is Slack variable? * What is Extreme point? What is Alternative optimal solutions? * What is Infeasibility? *Having trouble setting up the problem using excel solver and inputting the constraints
- What is meant by parametric linear programming ?Type the linear program, optimal solution, and objective function value in a word document. Submit your excel file A company produces three different types of wrenches: W1, W2, and W3. It has a firm order for 2,000 W1 wrenches, 3,750 W2 wrenches, and 1,850 W3 wrenches. Between now and the delivery date, the company has only 17,500 fabrication hours and 1,600 inspection hours. The time that each wrench requires in each department is shown in the table for this problem. Also shown are the costs to manufacture the wrenches in-house and the costs to outsource them. For labelling considerations, the company wants to manufacture in-house at least 60% of each type of wrench that will be shipped. How many wrenches should be outsourced? What will be the total cost to satisfy the order? Wrench Fabrication Hours Inspection Hours In-House Cost Outsource Cost W1 2.25 0.25 $17.00 $19.00 W2 3.25 0.30 $19.00 $21.00 W3 3.75 0.45 $22.00 $24.00In problems involving maximization and minimization, what is the objective function? States intended outcome in equation form Incorporates constraint of maximum budget Lists set of potential restrictions on the solution Cites constraints to ensure objectivity
- (Linear Objective Function and Optimization Application) On a special occasion, renowned electronic giant retailer Best Buy sold a variety of TVs at a discounted prices or on huge sales. Task-1: Write down an appropriate equation for the net profit function, P in order to account for the net profit made by Best Buy after selling: (i) x-number of televisions (TVs) that made $250 profit on the sale of each SONY TVs (ii) y-number of televisions that made $10,500 profit on the sale of each PHILIP TVs respectively, in that event. Task-2: Profit margin, P as discussed in Task-1 was subject to the following constraints applied to the products. a. Maximum cost price was $5000 to manufacture each piece of SONY TVs and $10,000 to manufacture each piece of PHILIP TVs respectively. All TVs were manufactured at a maximum cost of $10 x106 as given in Plot No 1: Plot No. 1: ($5000 x + $ 10000y) ≤ $10 million; Graph the Plot No. 1 up to the scale in a paper. b. 10 and 150 employees worked to…Linear programming formulation. Kindly define the notations clearly for better understandingState some key types of applications of the minimum spanning tree problem?
- Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of $400 and $800, 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 400 assembly hours per week. What if market conditions are such that Patz can sell at most 100 units of Part A and 80 units of Part B? Express the objective function with its associated constraints for this case. Objective function: Max Z = $400 A + $800 B Assembly-hour constraint fill in the blank 7 A + fill in the blank 8 B ≤ fill in the blank 9 Demand constraint for Part A A ≤ fill in the blank 10 Demand constraint for Part B B ≤ fill in the blank 11 Identify the optimal mix and its associated total contribution margin.Component A $fill in the blank 12 units Component B $fill in the blank 13 units Total contribution $fill in the blank 14Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,200, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,300. Manufacturing costs are $12 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,300, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $16 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…