9. The average revenue function of x units of product is R(x)=-mx+n,where m and n are constants. a) Find the revenue and marginal revenue functions in terms of m and n. b) If the maximum revenue is RM500 and its maximize the revenue at x=10 units, find the values of m and n

Q: 2. A boat on a lake is 3 miles from the nearest point on a straight shoreline. That point is 5 miles…

A: Consider the given information and the figure:

Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x? + 6x +…

A: Given function is as below : C(x)=2x2+6x+12 Marginal cost can be given by Derivative of C(x) .…

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

A: We have to find arc length L= ∫ab1+dydx2dx

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 labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

A: We will use partial derivative to find x and y.

Q: 2. a.) What comhination of goods rand y should a firm produce to minimize costs when the joint cost…

A:

Q: 12. Obtain the family of curves which represent the general solution of the partial different ial…

A: The general solution of a partial differential equation P(x,y,u)ux+Q(x,y,u)uy=R(x,y,u) is calculated…

Q: Find the number of units x that produces the minimum average cost per unit C (with a line over the…

A: We have to Find the number of units x that produces the minimum average cost per unit C (with a line…

Q: 15, Find a) fxedx b). dx using the substitution of x- cost.

A: We have to evaluate the integrals

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

A:

Q: Determine a,b,c and d so that the curve y=ax^3 + bx^2 + cx + d will have a critical point at (0,-2)…

A: we have to determine a,b,c and d so that the curve y=ax3+bx2+cx+d will have a  critical point at…

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

A:

Q: A monopolistic producer of two goods has a total cost function TC = 5Q1+ 10Q2 and a total revenue TR…

A: By Method of lagranges multiplier . To maximize f(x,y,z) subject to g(x,y,z)=k  Solve system of…

Q: 2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

A:

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where x s player i's…

A:

Q: The productivity of a country is given by f(x,y) = 100x0.6°y0.37, where x is the amount of labor and…

A:

Q: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 50 + 7x2 + 8y2, where x…

A: Differentiate wrt x and y

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: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, ß are positive…

A:

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

A:

Q: The Technolozic Corporation has determined that its marginal cost function is given by C'(t) =…

A: Given,  C'(t)=te-0.15t    Where t is time in years  and  C(0) = 2   We have to find Ct

Q: Suppose shop A sells q chocolates for q^2+2q dollars whereas the price per chocolate in shop B is 10…

A: Suppose there are q chocolates we purchase from shop A and shop B, then follow the steps shown…

Q: Assume that it costs a company approximately C(x) = 625,000 + 160x + 0.001x² dollars to manufacture…

A: Let's find.

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

A:

Q: Suppose that the production function for a product is given by z=x´In(xy) , where x is the labor…

A: The production function for a product is  z = x2ln(xy) To find marginal productivity equation of y,…

Q: Assume that a company's marginal cost function for the manufacture of x phones per hour is c(x) =…

A:

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A: The utility to player 1 is given as: u=xx+n1yAnw-x-n-1y;w>0,A>1 Also, Ak=Aw-x*

Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, 3 are positive…

A:

Q: Consider the Cobb-Douglas production function f(x, y) = 100x1/3y2/3 where x is the number of units…

A:

Q: An offshore oil well located at a point W that is 5 km from the closest point A on a straight…

A: Make a diagram using the given statements Now we find the cost function   cost of laying…

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where x is player…

A: The share of total production consumed by the player is xx+n1y. x: Player i's level of conflict. y:…

Q: This question involves partial differentiation. That is differentiating with respect to one variable…

A:

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: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 15 + 3x2 + 5y2, where…

A: C(x, y) = 15 + 3x2 + 5y2, x is the cost per pound for material and  y is the cost per hour for…

Q: A linear function ƒ (x, y) = ax + by + c has no critical points. Therefore, the global minimum and…

A: For the solution follow the next step.

Q: A cylinder-Its sides are made of cardboard, its bottom is made of thick plastic-coated aluminum…

A: Let r , in centimeter be the radius of base of cylinder and h, in centimeter be height of cylinder.…

Q: Given two inputs X1 and X2 with prices W1 and W2 respectively and a production function Y=f(X1,X2),…

A:

Q: Consider the Cobb-Douglas production function f(x, y) = 100x1/3y2/3 where x is the number of units…

A:

Q: 6. A soda company is designing a new can that is more cost efficient. The base of the can costs…

A:

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

A:

Q: Assume that the demand curve is P = f(Q) = 60 − 0.2Q and the supply curve is P=g(Q) = 30 + 0.3Q.…

A:

Q: 4-5

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Consider a firm whose revenue is expressed through the function R(x,y)= 4x³y², where x and y…

A:

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

A:

Q: Suppose thát the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A:

Q: A company determines that its marginal revenue, R', of selling the xth unit of its product is given…

A:

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

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.…

Q: A company has two plants that produce the same lawn mower. If x, and x, are the numbers of units…

A: