D) Quadratic Functions and Economics 1) The cost function of a firm is shown as TC=2q-44 q+1100. What is the minimum total cost a firm can have given it produces? What is this quantity?

Q: 15. You want to put a fence around a rectangular field and then subdivide the field into 4 smaller…

A: Let's find.

Q: A manufacturer of lighting fixtures has daily production costs of  C = 800 − 50x + 0.25x2,  where C…

A: For finding minimum of any function take derivative and equate to zero.

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Q: 3. A farmer applies x tons of fertilizer and y tons of pesticide to a crop, the yiled will be f(x,…

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Q: 5.a. Suppose a wire 20 cm long is to be cut into two pieces, each of which will be formed into a…

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Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A: Area of rectangular place = 280 square feet.

Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: NOTE: Refresh your page if you can't see any equations. .   width of the storage container is W=x…

Q: An apple grower finds that if he plants 80 trees per acre, each tree will yield 26 bushels of fruit.…

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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 company operates two plants which manufacture the same item and whose total cost functions are C1…

A: Givne that  The total cost functions  And price  To maximize the profit  To find q1 and q2

Q: 4.6 optimization #27 a truck is 250 miles east of a sports car and is traveling west at a constant…

A: To evaluate the optimum distance using Calculus

Q: c) The fixed costs of a business for production of a particular item over a period are $1000 while…

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Q: 2. A rancher from above needs two equal adjacent rectangular pens that share a fence in the middle.…

A: Given that ,Rancher needs two equal adjacent rectangular pens with a fence in middle. this can be as…

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: 1. The cost function for a clock factory is C(x) = 7x + 27 and the revenue function is R(x) = -4x2 +…

A: Given cost function is Cx=7x+27 and the revenue function Rx=−4x2+39x (a) We have to find the profit…

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: A company sells square carpets for $5 per square foot. It has a simplified manufacturing process for…

A: Given: Cost per square foot of carpet is $5 Let the length of the carpet be x feet. Side of each…

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: An open box is to be made from a piece of cardboard, 15 inches by 15 inches, by cutting equal…

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Q: 3. A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily…

A: We will use derivative here to solve the problem. Profit is selling minus cost price. Take the first…

Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

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Q: A company operates two plants which manufacture the same item and whose total cost functions are C =…

A: We have to find how much should each plant produce in order to maximize the company's profit.

Q: 2. In order to package one of their products, Acme Box Co. needs to construct a box whose bottom…

A: Lets calculate the cost in terms of l,w and h C = 2(area of top/bottom)(10) + 2(area of…

Q: 13. A rectangular dog pen of 800 sq. feet is to be constructed as shown. The cost is $5 per running…

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Q: An island is 3.5 mi from the nearest point on a straight shoreline: that point is 8 mi from a power…

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Q: In this problem, p is the price per unit in dollars and q is the number of units. If the weekly…

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Q: Suppose a calculator manufacturer has the total cost function C(x) =34x+6800 and the total revenue…

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Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: Given: -

Q: If a small country with a demand of P= 80 - 2Q and a supply of P = 40 + 2Q decides to provide an…

A: We can rewrite the demand and supply equations in terms of P.  So our demand equation becomes Q =…

Q: A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides…

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Q: If the total cost function for a product is C(x) = 5(x + 2)3 dollars, where x represents the number…

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Q: 3. A farmer applies x tons of fertilizer and y tons of pesticide to a crop, the yiled will be f(x,…

A:

Q: 17. A landscape gardener wants to build an 8000-square foot rectangular display garden along the…

A: Let the lenght of the garden is =x foot  Breadth is = y foot  Therefore, area = lb  8000= xy  Now we…

Q: A farmer wants to fence an area of 6 million Square feet in a rectangular field and a divided in…

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

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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: A company operates two plants which manufacture the same item and whose total cost functions are C1…

A: As we know Revenue is price multiplied by the demand so

Q: 2. An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The bottom…

A: To find out the sum of x and y for the most economical dimensions.

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: 1. Amazon wants to create an open-top box with a square bottom with only 149 in2 cardboard (the…

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Q: A car manufacturer estimated that the cost of production of "x" cars of a certain model is C = 20x –…

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Q: contains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 mg of vitamin C, and pill 2, which contains…

A: Since you have asked multiple questions,we will solve the first question for you.If you want any…

Q: 2. A small generator burns two types of fuel: low sulfur and high sulfur to produce electricity. For…

A: The following steps are used to find the solution of the linear programming problem by graphical…

Q: A company operates two plants which manufacture the same item and whose total cost functions are C1…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If, in a monopoly market, the demand for a product is  p = 1700 − x  and the revenue is  R = px,…

A: Given data: The demand is p=1700-x. The revenue is R=px.

Q: Given the given cost function C(x) = 5500 + 840x + 0.8 and the demand function p(x) = 2520. Find the…

A: Explanation and solutions is given below....

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: fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A: Rectangular area=280 square feet   Let the length of rectangle=x   Let the width of rectangle…

Q: units to the warehouse A is 2x^2 euro, the shipping cost of y units to the warehouse B is 3y^2 euro.…

A: Let the firm ships x unit type A and y unit of type B .Then x+y=100Shipping cost :-  2x2+3y2…