(1) For the function fx x-3 / 4- 2 x2, evaluate and simplify the following: (i) f(-1),  (ii) f (2a-b) (2) The length of a rectangular floor is two metres more than twice its width. If a diagonal of the rectangle is 13 meters, find the area of the floor. (3) The demand function for a tablet is given by the model p=200-16x2 where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?

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A: We first find the profit function.  P(x)=R(x)-C(x)P(x)=px-C(x)P(x)=(5 − 0.0003x)x-700 + 3x +…

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Q: If total costs for a commodity are given by C(x) = 850 + 20x and total revenues are given by…

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Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

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Q: +x²) ial f(x) -3 -5 -2 -24 -1 -7 10 15 20 2 of the function repre 12

A: Given query is to find the degree of polynomial from the table.

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Q: The demand function for a tablet is given by the model where p = 200 – 16x2 is measured in dollars…

A: Given- The demand function for a tablet is given by the model where p = 200 - 16x2 is measured in…

Q: The demand function for a tablet is given by the model p = 200 – 16x2 where p is measured in dollars…

A:

Q: A Calculator manufacturer's fixed daily costs are given by the function C(x)=750+5x-0.6x2 where x is…

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Q: If total costs for a commodity are given by C(x) = 750 + 20x and total revenues are given by R(x) =…

A: Total costs, C(x)=750+20xTotal Revenue, R(x)=140x-x2

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Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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Q: 1. The profit of a cell-phone manufacturer is found by the function y= -2x+108x+75 where x is the…

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Q: If total costs for a commodity are given by  C(x) = 850 + 30x  and total revenues are given by…

A: Given R(x)=110x-x2 C(x)=850+30x To find the maximum value of the Revenue and profit function

Q: If total costs for a commodity are given by  C(x) = 850 + 30x   and total revenues are given by…

A: Given Total cost C(x) = 850 + 30x and Total revenue R(x) = 140x − x2

Q: When professors select texts for their courses, they usually choose from among the books already on…

A: fx=20-15e-0.2x

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Q: The cost function for a weekly manufacture of headphones is given by C(2) = 150, 000 + 20r + 0.012…

A: solution:-

Q: Derive the number of tablets that the company could sell to make the same amount of profit

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Q: A company producing stereos can produce a stereo for​ $112 on top of the​ company's annual fixed…

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Q: The supply function for a product is given by p=20+100√2x+4, where x is the number of units supplied…

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Q: The cost in dollars of making x items is given by the function C(x)=10x+700. a. The fixed cost is…

A: C(x) =10x+700 When x=0 Fixed cost =700 For 25 items Substitute x=25 C(25)=10(25)+700

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Q: The cost in dollars of making x items is given by the function c(x) =10x+ 800 fixed cost= 10+ 800…

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Q: The cost in dollars of making x items is given by the function C(x)=10x+800.   a. The fixed cost…

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Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: