8. A sales analyst determines that the revenue from sales of fruit smoothies is given by R(r) = -90x + 450x where z is the price in dollars charged per item, for 0

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A: Consider the given information and the figure:

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Q: need help with 2and 3 not number 1 !!!

A: Let x and y be the length of sides of rectangle along x-axis and y-axis respectively. Then , the…

Q: 3. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers be x,y According to question = x*y =100                     y = 100/x  Sum of…

Q: Assume that it costs a manufacturer approximately C(x) = 1,200,500 + 340x + 0.0005x² dollars to…

A: (a) The cost function is Cx=1200500+340x+0.0005x2. The average cost function is Cx=Cxx. That is,…

Q: Suppose the daily total cost (in dollars) of manufacturing x televisions is…

A: Given,      C(x)=0.0004x3-0.06x2+190x+7000                        ...(1)

Q: Minimize ?=?+3?+10 subject to:  2?+4?≥8  4?+3?≥12  ?,?≥0 Corner points at…

A: The objective function is given as, Zx,y=x+3y+10 Subjected to the following constraints,…

Q: a. Find the radius and height of a cylindrical soda can with a volume of 256 cm that minimize the…

A: Part (a) Given data: The volume of can is V = 256 cm3.

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A:

Q: a 60 room hotel is filled to capacity every night at a rate of $40 per room. the management wants to…

A: Profit without increase = No.of rooms * rate per room                                  =60*40…

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A:

Q: A company produces two products. After considering all cost, the company profit (in RM) is given by…

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Q: Find the minimum and maximum of the function y = z° – 6480z on [-7,7] by comparing values at the…

A: The function is y=z5-6480z and the given interval is -7,7. To find the critical points of the…

Q: A rectangular box is to have a square base and a volume of 81 ft3. If the material for the base…

A:

Q: Assume that it costs a manufacturer approximately C(x) = 1,152,000 + 340x + 0.0005x2 dollars to…

A:

Q: A worker is to construct an open rectangular box with a square base and a volume of 98 ft°. If…

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Q: 1. The sum of two positive numbers is 200. What is the maximum possible value for their product? 2.…

A: As question number is not mentioned in the given attachment. So, I am solving first question. Kindly…

Q: Find the minimum and maximum values of the function y = 1613 + 2412 on [1,2] by comparing values at…

A: The given function y=16t3+24t2 on 1,2

Q: Find the Break Even Point for the Firm whose cost function C and revenue function R are given.…

A: The given data is: Cost function is given as: Cx=13x+6000  Revenue function is given as: Rx=19x…

Q: suppose a baby food company has determined that its total revenue R for its food is given by R=…

A:

Q: A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base…

A: Volume= x2y= 16 So, y= 16/x2   total cost:

Q: 5. An open rectangular box with a square base is to contain 500 m³ . What is the minimum cost if the…

A: A open rectangular box with a square base contain 500 m^3

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

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Q: What is the minimum value of x^2+100/x on a horizontal span of 1 to 5?

A: The given expression is x2+100x;1,2,3,4,5. Let us use the graph to analyze the above function for…

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Q: 2. The Minimum point of y= 320

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Q: 1. A lifeguard is at point A on a straight shore AB, where point B is 100 ft from point A. He wishes…

A: This question is related to distance and speed we will solve it using given information.

Q: Suppose a company has fixed costs of $57,600 and variable costs of 4 9 x + 222 dollars per unit,…

A:

Q: a 60 room hotel is filled to capacity every night at a rate of $40 per room. the management wants to…

A:

Q: d) A company produces two products. After considering all cost, the company profit (in RM) is given…

A:

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

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Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = ' +…

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Q: 19. A piece of wire of length 1 meter is cut into two parts, one of which is bent into the shape of…

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Q: a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to…

A: Given: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6…

Q: A manufacturing company makes door hinges. The cost function for making a hinges per hour is C(x) =…

A: The cost function for making x hinges per hour is C(x)=0.0007x3-0.1796x2+14.663x+160 The critical…

Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y) = x² +…

A: Given: The labor cost(in dollars) for manufacturing a camera is approximated by, L(x,…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

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Q: 9. The total cost and total avenue, in dollars, from producing x couches are given by C(x) = 1000(x²…

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Q: Since the feasible region is closed and bounded, we know that the maximum value will occur at…

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Q: 3. A line of negative slope through (1, 2) cuts off a triangle in the first quadrant. For which such…

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Q: 4. Find the absolute minimum and absolute maximum values for y=3x²-12 x on the interval [0,3].…

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Q: 4. Find the minimum value of f(x, y) = xy subject to x² + y² = 8. 5. Find the minimum value of f(x,…

A: As per bartleby policy, I've answered only one question. Please upload it under another question.

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given is the cost and revenue function. To compute the break-even point.

Q: The amount of space required by a particular firm is f(x, y) = 1000(6x2 + y2)^1/2, where x and y…

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Q: 3. Car B is 100 miles directly east of car A and begins moving north at 50 miles per hour. At the…

A: Solve the given problem

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Q: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

A: Let us take a continuous function f(x,y) such that double derivative of function is also continuous.…