Consider this linear program: Maximise {x}, subject to the constraints:

Q: Find the maximum and minimum values of the following function, subject to the given constraint.

A: Function  :   fx,y=xy Equality Constraints  :  gx,y = x2+y2-25=0 Lagrange function  :…

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Here we will find the number of trees per acre to maximise harvest,

Q: current inventory, a total of 48 planks of wood are left. Each sofa needs four planks of wood to be…

A: Let the number of sofas be x and tables be y.  Then 4x + 2y = 48

Q: A deli owner has room for 55 containers of shredded Parmesan cheese. He has 5-oz and 10-oz…

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Q: Explain Plot of the Constraints?

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Q: An airline finds that if it prices a cross-country ticket at $500, it will sell 300 tickets per day.…

A: Question- An airline finds that if it prices a cross-country ticket at $500, it will sell 300…

Q: If the total revenue function for a computer is R(x) = 1200x – 32x2 – x3, find the level of sales,…

A: Let's find.

Q: A company makes a profit of $50 per software program and $35 per video game. The company can produce…

A: We will solve the given equation as shown below by using graph tool

Q: Let x = the number of contemporary-style cabinets produced each week y = the number of…

A: The optimization in linear programming is also known as profit maximization and cost minimization…

Q: The marketing department of a local shoe company found that approximately 700 pairs of running shoes…

A: Monthly sales of shoes are 700 and the price of each pair is $93.  For each $1 was reduced in price…

Q: A retiree has 60 garden plots on which he could plant cabbage and pechay. His friend told him that…

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Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 75 bushels of fruit. She…

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Q: Summarize the steps for solving a linear programmingmodel graphically

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Q: If the total revenue function for a computer is R(x) = 1800x – 23x2 - x³, find the level of sales,…

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Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 60 bushels of fruit. She…

A: Given: Number of acre 80 trees    Yield per tree 60 bushels Reduced by 2

Q: Differentiate nonlinear from linear programming by defining and stating functions thereof

A: Linear programming: Linear programming is used to find the best solution from a set of parameters…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She…

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Q: A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling…

A: Given:

Q: The goal of the transportation model is to maximize the transportation cost. * True False

A: The transportation model is a special case of linear programming problems in which the objective is…

Q: A retailer currently sells 15 tablets per day at a cost of $568. Market research indicates that for…

A: we know that revenue is given by, R = price x quantity Let x = number of times the price is reduced…

Q: The estimated monthly profit realizable by the Cannon Precision Instruments Corporation for…

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Q: Given this linear programming model, solve the model and then answer the questions that follow.…

A: If the profit of each product is increased by $1 the effect on the decision variables and objective…

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 65 bushels of fruit. She…

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Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

Q: If the total revenue function for a computer is  R(x) = 3000x − 5x2 − x3,  find the level of sales,…

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Q: Identify each of the following mathematical relationships below, in terms of whether it could be…

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Q: To specify that x1 must be at most 75% of the blend of x1, x2, and x3, what constraint should be…

A: Given,  x1 must be at most 75% of the blend of x1, x2, and x3       To find, what constraint should…

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 40 bushels of fruit. She…

A: Here we are to determine the number of trees for which the harvest is maximum. For this we have to…

Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Let x be trees per acre and y be yield.  The given data is represented in an equation,…

Q: A farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

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Q: The estimated monthly profit realizable by Hanover Jones Inc. for manufacturing and selling x units…

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Q: Company A sells floor tiles which are 2 square feet in area, weigh 4 pounds, and cost $1.  Company B…

A: Let we need to buy x tiles from company A and y tiles from company B Given that the total cost is no…

Q: Jenny's Bakery makes two types of birthday cakes: yellow cake, which sells for $25, and strawberry…

A: Let the number of yellow cakes = x and the number of strawberry cakes = y. The selling price of…

Q: Swift Cuts earns $12 on each manicure and $18 on each haircut.. A manicure takes 30 min and a…

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Q: Use your school’s library, the Internet, or some other reference source to find real-life…

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Q: If the total revenue function for a computer is R(x) = 2600x – 11x2 – x3, find the level of sales,…

A: Given,The total revenue function for a computer isR(x)=2600x-11x2-x3

Q: A clinic uses doctors and nurses optimally and is servicing the maximum number of patients given a…

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Q: An airline finds that if it prices a cross-country ticket at $400, it will sell 100 tickets per day.…

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Q: airline finds that if it prices a cross-country ticket at $300, it will sell tickets per day. It…

A: Let 'x' be the number of $20 price reduction and the number of 40 tickets more sold per day. Let…

Q: you sell each Quebee at the Breakeven Price, what is your maximum profit? What is your maximum loss

A: In this question we are given with the graph and we have to find what will be the maximum profit or…

Q: A farmer finds that if she plants 70 trees per acre, each tree will yield 30 bushels of fruit. She…

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Q: Find the maximum value of x+y subject to the given constraint: x2 + y2 = 18.

A: Given: constraint : x2+y2 = 18

Q: A peanut company sells a mixture of two types of beans. The cheapest mixture contains 80% lean…

A: (a) Let x represents the quantity (in kg) of cheapest mixture and y represents the quantity (in kg)…

Q: If the total revenue function for a computer is R(x) = 1800x - 23x2 - x³, find the level of sales,…

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