Operations Research Answers

Operations Research

Q2) A trucking company has a contract to move 115 truckloads of sand per week between three sand-washing plants W,X and Y, and three destinations, A,B and C. Cost and volume information is given below.

Compute the optimal transportation cost using:

(a) Northwest corner method.

(b) Least-Cost method.

(c) Vogel’s approximation method.

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Question #136818

Operations Research

Mr. Trenga plans to start a new business called River Explorers, which will rent canoes and kayaks
to people to travel 10 miles down the Clarion River in Cook Forest State Park. He has $45,000 to
purchase new boats. He can buy the canoes for $600 each and the kayaks for $750 each. His facility
can hold up to 65 boats. The canoes will rent for $25 a day, and the kayaks will rent for $30 a day. How
many canoes and how many kayaks should he buy to earn the most revenue? What is the maximum
revenue

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Question #135681

Operations Research

Please solve the following. Create a picture using Desmos.
Find the Min and Max of Z = 5x + 3y
subject to:
4x + 5y ≤ 200
3x + 6y ≤ 180
x ≥ 0; y ≥ 0

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Question #133140

Operations Research

A hardware store packages handyman bags of screws, bolts, nuts, and washers. Screws come in 100-lb boxes and cost $110 each, bolts come in 100-lb boxes and cost $150 each, nuts come in 80-lb boxes and cost $70 each, and washers come in 30-lb boxes and cost $20 each. The handyman package weighs at least 1 lb and must include, by weight, at least 10% screws and 25% bolts, and at most 15% nuts and 10% washers. To balance the package, the number bolts cannot exceed the number of nuts or the number of washers. A bolt weights 10 times as much as a nut and 50 times as much as a washer.

Formulate the LP model to determine the optimal mix of the package.

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Question #133137

Operations Research

A business executive has the option to invest money in two plans: Plan A guarantees that each peso invested will earn PhP0.70 a year later, and plan B guarantees that each peso invested will earn PhP2 after two years. In plan A, investments can be made annually, and in plan B, investments are allowed for periods that are multiples of two years only.

Formulate the LP model in order for the executive to determine how to invest his PhP1,000,000 to maximize the earnings at the end of four years. (CLUE: How much should you invest in plan A and plan B at the start of years 1, 2, 3, and 4?)
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The challenge in this problem is that the return (interest) of plan A and plan B occur in different time periods: plan A’s interest is recognized annually (every year) while plan B’s interest is recognized only every two years.

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Question #131867

Operations Research

Neon lights on a campus are replaced at the rate of 100 units perday. The physical plant orders the neon lights periodically. It costs BND 100 to initiate a purchase order. A neon light kept in storage is estimated to cost about BND 0.02 per day. The lead time between placing and receiving an order is 12 days. Determine the optimal inventory policy for ordering the neon lights

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Question #131045

Operations Research

Brian visits Game-on. He is interested in playing two games, that is ‘Rocket league’ and Horizon Chase’. It costs R5,00 to play Rocket league and R2,00 to play Horizon chase. Brian has R20,00 to use in playing games.

Find out if Brian will be able to play 3 games each of Rocket league and Horizon chase. Find all possible combinations of games that Brian can play.

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Question #130261

Operations Research

A health food manufacturer makes two types of protein shakes, Whey and Vegan. Each mixture
contains vitamins, protein, and carbohydrates, in the following proportions:
Carbohydrates (g) Protein (g) Vitamin (g)
Whey 100 400 300
Vegan 200 300 100
Minimum dietary requirements are that a protein shake contain at least 0.9kg of vitamins, 2.2kg of
protein, and 0.8kg of carbohydrate. Whey costs N$20 per kilogram to produce, and Vegan costs
$12.50 per kilogram to produce. Find the number of kilograms of each protein shake that should be
produced to minimize cost.

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Question #129726

Operations Research

Scary Store Ltd sells Halloween costumes every year. Each costume costs the store $35, and retails for $110. The costumes can be sold for $10 once Halloween is over. Based on past demands, the store managed predicts his demand to be 240 costumes with a standard deviation of 80 costumes. How many costumes should the store manager order for this year’s Halloween?

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Question #129634

Operations Research

A health food manufacturer makes two types of protein shakes, Whey and Vegan. Each mixture
contains vitamins, protein, and carbohydrates, in the following proportions:
Carbohydrates (g) Protein (g) Vitamin (g)
Whey 100 400 300
Vegan 200 300 100
Minimum dietary requirements are that a protein shake contain at least 0.9kg of vitamins, 2.2kg of
protein, and 0.8kg of carbohydrate. Whey costs N$20 per kilogram to produce, and Vegan costs
$12.50 per kilogram to produce. Find the number of kilograms of each protein shake that should be
produced to minimize cost.

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