Module 1 Assignment 1
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School
University of North Carolina, Wilmington *
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Course
303
Subject
Industrial Engineering
Date
Feb 20, 2024
Type
docx
Pages
4
Uploaded by CaptainField11493
Question 1 2/2pts Use the following problem/scenario to answer the next questions. Goldilocks needs to find at least 12 Ibs of gold and at least 18 Ibs of silver to pay the monthly rent. There are two mines in which Goldilocks can find gold and silver. Each day that Goldilocks spends in mine 1, she finds 2 Ibs of gold and 2 Ibs of silver. Each day that Goldilocks spends in mine 2, she finds 1 Ibs of gold and 3 Ibs of silver. Model and solve a LP problem to find the minimum number of days Goldilocks has to spend at the mines. Hint: m1 Amount of time (in hours) Goldilocks spends at mine 1 Gold Constraint: 2m1+? What is the objective value of the Goldilocks problem? Difficult Level: Easy 75 ectAnswers ) 7.5 (with margin: 0)
Question 2 2/2pts 1. Protein: 48 grams 2. Carbohydrate: 84 grams 3. Fat: 64 grams A 16-ounce can of Spotted Owl food must contain protein, carbohydrate, and fat in at least the following amounts: Four types of food mix are available to be blended together in various proportions to produce a least-cost can of owl food satisfying these requirements. The contents per ounce and prices per ounce of each mix are given in the table: Mix Number: Price per ounce: Protein (gm/oz): Carbohydrate (gm/oz): Fat (gm/oz): 1 2 3 4 $0.25 $0.38 $0.18 $0.33 3 5 2 3 7 4 2 8 5 6 6 2 programming problem. What is the objective value of the Owl Mix problem? Hint: m2 Amount of Mix 2 in 0zs used 5m1+6m2+62+22> 64 Difficult Level: Medium 3866 ectAnswers ) 3.98 (with margin: 0.2) Each 16 ounce can must be filled with a combination of only these 4 mixes. Formulate and solve this blending problem as a linear
Question 3 2/2pts Correct Answers Ahospital treating COVID patients needs to buy gloves, gowns, and masks for the health care professionals working at the facility. The hospital has two suppliers who can supply the items. The cost, and the maximum number of each item each supplier can provide is given below: Gloves (cost, max units) Gowns Masks (52.00, [Supplier A 0.30/unit, 20,000) 2.50, 10,000} upplier (5 uni ) 5000) (& ) (5175, [Supplier B 0.35/unit, 11,000) 2.55, 9,500) upplier (5 uni ) 7000) (& ) The hospital immediately needs 30,000 units of gloves, 5500 units of gowns, and 12,500 masks. To account for the economies of scale in logistics, the Supplier A has a requirement of at least 25,000 units in the order, while Supplier B has a requirement of a minimum order size of 10,000 units and a maximum order size of 20,000, What is is the minimum total cost of order that the hospital needs to pay to the suppliers to get the items? Hint: la Amount of gloves purchased from Supplier A la+ga+ma > 25000 Difficult Level: Hard 50,500 50,500 (with margin: 0) Question 4 2/2pts Correct Answers The Quality Desk Company makes two types of computer desks from laminated particle board. The Presidential model requires 30 square feet of particle board, 1 keyboard sliding mechanism, and 5 hours of labor to fabricate. It sells for $149. The Senator model requires 24 square feet of particle board, 1 keyboard sliding mechanism, and 3 hours of labor to fabricate. It sells for $135. In the coming week, the company can buy up to 15,000 square feet of particle board at $1.35 per square foot and up to 600 keyboard sliding mechanisms at a cost of $4.75 each. The company views manufacturing labor s a fixed cost and has 3000 labor hours available in the coming week for the fabrication of these desks. What is the maximum profit? Hint: Profit = Revenue from selling presidential and senator model -(cost of purchasing the sliding mechanism + cost of purchasing particle board) 59,300 59,300 (with margin: 0)
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Question 5 2/2pts Let 1y be the amount transported from DC 1 to Customer 1 (similar definition for the other two variables). What is the total shipment from the three DCs to customer location 17