5.a. Suppose a wire 20 cm long is to be cut into two pieces, each of which will be formed into a square. Suppose you want to minimize the total combined area of the two shapes. Quantity to optimize (with formula if possible): Constraint: Domain (fill in after getting a single-variable formula):

Q: 5. A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: Let the length of the wire cut=xAll sides of square are same side length=yPerimeter= 4 y…

Q: Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his…

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Q: 5. Find the dimensions of the rectangle in the figure shown below that will give the maximum…

A: let's assume length of rectangle is yfeet now, equating perimeterP of given figure with 12feet so,…

Q: Find the objective function in the given problem (in terms of w) if the constraint is that the sum…

A: Note: Please provide complete instructions for first problem. Given  The box has a sum of length,…

Q: A wire b m long is cut into two pieces. One piece is bent into an equilateral triangle and the other…

A: given

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Q: On the same side of a straight road are two towns, and the townspeople want to build a waste…

A: ------------------------------------------------------------------------------- Total pipe line…

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Q: 9. The management of a large store wishes to add a fenced-in rectangular storage yard of 20,000…

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Q: How many kg of each mixture must be made to maximize profit if profit Rp. 100 of each cheap mix and…

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Q: a. A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A customer requested for a cylinder with a top and bottom that has a volume of 4000cm^3. Find out…

A: Here we have given that a cylinder with a top and the bottom has a volume of 4000 cm3. we need to…

Q: The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota set by…

A: Given  function is Tx,y=x4+16y4-32xy+40 Where 'x' represent amount of money in thousands of dollars…

Q: Calculate the minimum value of 3x + 6y subject to the following constraints: x+y2 2 x + 2y s 5 x+ys6…

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Q: 2. Suppose an airline policy states that all baggage must be rectangle-shaped with the sum of the…

A: We first calculate the side of square box then calculate its volume. Using formula Volume of cube…

Q: 3. If 100x units of a particular commodity are demanded when p dollars is the price per unit, x² +p²…

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Q: 1. After an aggressive marketing campaign in the local community, Lumyn Electronics discovered that…

A: The total cost in a month, C is given by the function:C = 25n2 - 1,500n + 25,000 where n represents…

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: Let x be the number of trick ski produced and y be the number of slalom ski produced. The…

Q: A company needs 450,000 items per year. Production costs are 500$ to prepare for a production run…

A: Let the number of items in each production be  Therefore, Number of production  Total storage cost…

Q: A company making Espresso machines has a demand price that can be modeled by p=500-0.5q^2 and the…

A: Given that: demand price is modeled by p=500-0.5q^2 the total cost is modeled by C=50q+40 To Find:…

Q: If an isosceles triangle has perimeter P, how long must the legs of the triangle be to maximize its…

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Q: 3. A 5,000 m? rectangular area of a field is to be enclosed by a fence, with a moveable inner fence…

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Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: This question can be solved using the concept of linear programming.

Q: 6. Try to write the dual problem form of the following minimum value problem. Min C=2x, + 3x, Sate X…

A: Given Primal is   Min Cx = 2x1 + 3x2 subject to x1 + x2 ≥ 2 2x1 + 3x2 ≥ 6 x1 ≥ 0,  x2 ≥ 0

Q: Example 6: A farmer in Ontario has 100 hectares which he wishes to fence as a rectangular field…

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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: An independent political candidate wants to run both TV and radio advertisements. Suppose that each…

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Q: The water-supply manager for San Francisco needs to supply the city with at least 19 million gallons…

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Q: 12. The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions of…

A: Given: The objective is to find the dimensions of square and an equilateral triangle whose perimeter…

Q: Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an…

A: To work out the least cost under the given conditions in the word problem

Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100

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Q: The water-supply manager for a Midwest city needs to supply the city with at least 10 million gal of…

A: We will construct a linear programming problem according to the given informations and will solve it…

Q: 2. A management company is going to build a new apartment complex. They know that if the complex…

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Q: The water-supply manager for a Midwestern city needs to supply the city with at least 11 million…

A: Given, Manager needs to supply the city with at least 11 million gallons of potable water per day.…

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 wire b is cut into two pieces. One piece is bent into an equilateral triangle and the other is…

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Q: 9. A student wishes to maximize the amount of poster space for an art exhibit. The requirements are…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: If the total revenue and total cost (in dollars) are given by R(x) = 5x – 0.003x² - C(x) = 300 +…

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Q: A farmer wants to make three identical rectangular enclosures along a straight river, as in the…

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Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

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Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A: Given that, the length of the wire is 12 inches. Note that, the formula for area of the circle is…

Q: Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy…

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Q: Calculate the minimum value of 9x + 5y subject to the following constraints: x +y2 20 x + 2y 2 26 2x…

A: Find the minimum value of 9x+5y subject to the constraints,  x+y≥20x+2y≥262x+y≥29x≥0y≥0  as follows.…

Q: A chicken farmer can buy a special food mix A at 20c per Kg and special food mix B at 40c per Kg.…

A: Let the farmer should buy x kg of food mix A and y kg of food mix B in order to minimize daily food…

Q: 3. The cost for making x gizmos is C(x) = x2 - 8x + 30. How many gizmos should be made to minimize…

A: Given C(x)=x2-8x+30

Q: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

A: Let, x denotes the half width of the rectangle.y denotes the height of the rectangle.And…

Q: how don in solve for the optimal combination of labour and capital that maximized output. given…

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