3) The revenue equation for a certain product is R(x) = x(52 - (1/2)x). Find the value of x that results in the maximum revenue. What is the maximum revenue? 4) Suppose the cost of producing x units of a product is given by C(x) = -0.006x - 0.2x + 90ox - 1200. a) Determine the marginal cost function. b) Determine the marginal cost when x 100 units. 5) Find positive numbers x and y satisfying the equation xy = 12 such that the sum 2x + y is as small as possible (minimum). 6) A rancher has 400 feet of fence for constructing rectangular corrals. See the diagram. One side will be formed by the side of a barn and requires no fence. What dimensions of the corral will maximize the total enclosed area? 7) Suppose the cost function is 2x - 1 and the revenue function is 52x - 0.5X. What is the profit function? (R(x) - C(x) = P(x)) 8) Given the revenue function R(x) = x{(100 + x)/x+ 1)}. Find the marginal revenue function. 9) The cost to mine x tons of coal is given by C(x) = 0.3x +50x + 2500. Write the function that represents the average cost per ton. 10) The amount of material used to construct a certain box is given by A(x) = 2x+ (4000/x), where x is the length of one side of the square base and A is the amount of material. Find the value of x for which the amount of material is minimized.

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Q: Graphs of Rational Functions Determine the rational equation for each graph shown, beginning with y…

A: Given Starting function is y=1x     Translation theory- 1. If graph is shifted towards right by p…

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A: Given query is to find the interval where function is increasing and decreasing.

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Q: Which graph represents the following ellipse (z+1)ª + 16 (v-3)° 36 = 1?

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.