Problem 3A shipping company is planning on purchasing three different types of boats: A, B and C. Therelevant data is summarized in the following table:Cost (million $) per unitSeating capacityExpected profit ($) per unitA6.5• Required seating capacity: at least 660.• At most 8 type C boats may be purchased45150,000B7.875218,000The objective is to minimize the expansion costs under the following restrictions:• Required returns: $1,800,000.60175,000с9.2• At most 12 boats in all.a. Formulate the linear program that represents this problem and solve it. For thepurposes of this exercise you can assume that is possible to buy fractions of aboat, no need to make the variables integer.b. What is the optimal solution (purchase plan)? How many of each container shouldbe purchased, and what should the resultant cost be?c. Suppose that the requirement of at least 660 for seating capacity is reduced to650. Without resolving the problem, can you determine how this would change theoptimal solution? What would be the new cost?

For this question, I will formulate the Linear programming model, and then, I will solve this LP…

Answered: a. Formulate the linear program that…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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14
A plastic company operates 300 days a year. It produces and supplies 300,000 plastic caps for soft drinks. It can produce 12,000 pcs per day. The annual carrying cost of each cap is PhP0.25, and the set up cost is PhP22.00. a. What is the optimal run size?b. What is the run time?c. What is the cycle time for the optimal run size?d. What is the annual carrying cost?e. What is the annual set up cost?f. What is the total inventory cost incurred for the plastic caps
) The following data have been prepared for master production scheduling purposes in IKEA Australia: End product A: Beginning inventory of 60, Period forecast of 10, Lot size of 30, and 30 hours in lot size. End product B: Beginning inventory of 20, Period forecast of 5, Lot size of 20, and 20 hours in lot size. End product C: Beginning inventory of 30, Period forecast of 15, Lot size of 50, and 50 hours in lot size. Capacity: 38 hours/ week (i) Prepare the master production schedule for these items during the next four periods using the Ethan Allen master production scheduling method. (ii) Suppose that the master production schedule is frozen for the next three periods. What specific impact would the policy have on the IKEA's performance?
Jk.335. Propiem 14-8 Rent'R Cars is a multisite car rental company in the city. It is trying out a new "return the car to the location most convenient for you" policy to improve customer service. But this means that the company has to constantly move cars around the city to maintain required levels of vehicle availability. The supply and demand for economy cars, and the total cost of moving these vehicles between sites, are shown below. From To A B C Demand D $9 9 5 50 From/To $8 Candidate solution A B C Total shipped Cost A - B C Total costs 8 3 60 $6 8 3 25 $5 D 0 10 a. Find the solution that minimizes moving costs using Microsoft Excel. (Leave no cells blank - be certain to enter "0" wherever required.) Supply 50 40 75 30 165 165 E F G Supply $
Problem 20-36 (Algo) Palin's Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). Annual demand standard deviation of daily demand Item cost Annual holding cost Review period 2, 240 6 $35.00 20 28 Optimal target level mufflers mufflers per working day per muffler % of item value working days Ordering cost Service probability Lead time Working days $60 per order 89 % 2 working days per year 280 a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.)
John is travelling from home in Sydney to a hotel in Perth. Three stopovers on the way a number of choices of towns for each stop only one hotel to choose from in each town, except for Perth, where there are three hotels (J, K, and L) to choose from Each trip has a different distance resulting in a different cost (petrol) (cost is marked by each arc) Hotels have different costs (cost is marked by each node (town)) ● ● ● The goal is to select a route to and a hotel in Perth so that the overall cost of the trip is minimized. Use dynamic programming (forward recursion) to solve this problem by constructing the usual tables for each stage. Stage: 0 (Sydney) 1 Petrol cost start 22 8 12 Hotel cost 70 80 B 80 25 10 2 50 A E 70 30 10 18 8 7 3 50 F 70 70 H 60 8 10 10 4 (Perth) 50 13 K 10 15 L 60 70
3-4) How many pounds of beans will Taco Loco have left over if they produce the optimal quantity of products X, Y, and Z? A) 28.73 B) 39.27 C) 0 D) 1E + 30 3-5) What is the increase in revenue if Taco Loco purchases 20 pounds of cheese for $1 and uses it optimally? A) $0 B) $9.09 C) $29.00 D) $158.18
During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.
MGT 314 (Operation Management) MCQ:
Design capacity is the ability of the company to produce the quantity of goods and services within a particular period of time when the company have best condition to produce and when the company have unlimited resources. These resource's includes- Men, Machinery, Material etc. It shows the maximum capacity of the company to produce. Effective capacity refers to the ability of the company to produce maximum quantity within a particular period of time to achieve in current production condition and current resources. It shows the real outcome capacity of the firm when the company produce within their own current condition of their production. Question Why is the capacity design important?

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