MindTap Business Statistics for Ragsdale's Spreadsheet Modeling & Decision Analysis, 8th Edition, [Instant Access], 2 terms (12 months)
8th Edition
ISBN: 9781337274876
Author: Cliff Ragsdale
Publisher: Cengage Learning US
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You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:
1. A manufacturing company is engaged in producing three types of products: X, Y and
Z. The production department produces, each day, components sufficient to make 50
units of X, 25 units of Y and 30 units of Z. The management is confronted with the
problem of optimizing the daily production of the products in the assembly
department, where only 100-man-hours are available daily for assembling the
products. The following additional information is available
Type of Product
Profit Contribution
Assembly Time per
Product (Hrs)
per Units of
Products (in PhP)
120
0.8
Y
200
1.7
450
2.5
The company has a daily order commitment for 20 units of product X and a total of
15 units of products Y and Z. Formulate this problem as an LP model so as to maximize the
total profit. Using simplex method, find the number of units of product X, Y and Z to product
to maximize total profit.
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- Develop a decision analysis formulation of this problem by identifying the decision alternatives, state of nature, and the payoff table.arrow_forwardA car company is planning the introduction of a new electric car. There are two options for production. One is to produce the electric car at the company’s existing plant in Illinois, sharing production with its other products that are currently being produced there. If the sales of the electric car are moderate, this will work out well as there is significant capacity to produce all of the products there. However, if sales of the electric car are strong, this option would necessitate Adding a 3rd shift, which would lead to significantly higher costs. Another option is to build a new plant in Ohio. The new plant would have sufficient capacity to meet whatever level of demand for the new car. However, if sales of the new car not strong, the plant would be underutilized and less efficient. Since this is a new product, sales are hard to predict. The forecast indicates there is a 60% chance of strong sales (annual sales of 100,000), and 40% chance of moderate sales (annual sales of…arrow_forward: You are employed by Univeristy of Gujrat , a university that provides a range of training and education, including Computing, and Information & Communication Technology (ITC). The Head of Department of ITC, Mr Rumi, has discovered that on more than one occasion recently a computer virus has been introduced to the computers in the department. He thinks that the viruses have been introduced from computer disks brought in by students. He has decided to introduce a system where all disks used in the department must be checked for a virus before they can be put into the computers. He says to you, I would like you to send a memo in my name to all teachers who use the computer rooms. You will have to tell them that all disks brought in by students must be checked before there are used. The teachers have to check them carefully, of course. We have got to stop these viruses being introduced before they cause serious problems. Oh yes, reminds them to lock up the rooms when they leave.…arrow_forward
- Let’s consider the following LP problem: min Subject to: Solve the problem with the graphic method.arrow_forward3. Consider the following linear program: Min 8X + 12Y s.t. IX +3Y 9 2X+ 2Y 10 6X + 2Y 18 XY 0 Use the graphical solution procedure to find the optimal solution. b. Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. a. Assume that the objective function coefficient for X remains 8, but the objective func- tion coefficient for Y changes from 12 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. d. The sensitivity report for the linear program in part (a) provides the following objec- tive coefficient range information: C. Objective Coefficient Allowable Inerease Allowable Variable Decrease 8.000 12.000 4.000 12.000 4.000 4.000 How would this objective coelficient range information help you answer parts (b) and (C) prior to resolving the problem?arrow_forwardA college provides free tutoring services for its students 7 days a week, and the daily requirements for tutors are: Day M T W Th F S Su Requirements 5 4 7 3 6 3 4 Find the minimum number of tutors required if each tutor works 4 days a week and has 3 consecutive days off. Give preference to Saturday and Sunday off in case of a tie. (Hint: Look for group of 3 days with the lowest requirements). Specify the work schedule for each tutor. How much slack does your schedule generate for each day?arrow_forward
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