Given the total cost function for a St Lucian Construction Company is: TC = 1250 + 10Q-0.9Q2 + 0.06 Q? Where Q is output in thousands (For example if output is 5000 then Q = 5) (a) Find the rate of output that results in minimum average variable cost. What is the average variable cost at this level of output?

Q: A company has found that the marginal cost​ (in thousands of​ dollars) to produce x central air…

A: Definition used-                    A cost function is integral to the marginal cost function.…

Q: Given cost function C(q) = q° - 135q + 2400q, what quantity minimizes average cost? It would be…

A: Given cost function- Cq=q3-135q2+2400q To find what quantity minimizes average cost.

Q: Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x² dollars to manufacture…

A:

Q: If TC=0.01x²+5x+100 is the cost function for x items of a product, at what level of production, x is…

A: As per the question we have to minimise the cost function Tc and find its minimum value as well as…

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

A:

Q: Given cost function C(q) = q° - 135q“ +2400q, what quantity minimizes average cost? It would be…

A:

Q: Given the marginal-cost function 10e9 + 1.8q² – 1.4g + 6.5 and fixed cost 700, find the total-cost…

A: We know that, marginal cost function is the derivative of the total cost function. So by doing…

Q: a). Given the total cost function as; TC = 31 + 24Q – 5.5Q2 + 1/3Q3   (i). Find the relative minimum…

A:

Q: If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function C(x) =…

A:

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: The cost of producing x units of a commodity is given by C(x)=140+16x−0.7x^2. Find the marginal cost…

A:

Q: A company has determined the demand and supply functions for a product are given by        p =  D(…

A: Given demanf function,p = D(x) = 14 - x2Supply function p = S(x) = 4x + 2

Q: What is the critical point of the total cost function TC = Q3-6Q2 – 640Q? 640Q ? %3D 1/3

A:

Q: The total cost function of commodity is given by C(x) = 0.5x +2x +50 Where C(x) denotes the total…

A: The given total cost function is Cx=0.5x2+2x+50 where x is the quantity produced. Evaluate Average…

Q: Given demand function p=100–6x and cost function C=240+15x² , find: Minimum Average Cost (the…

A: Given: The demand function is:  p=100-6x Cost function is:  C(x)=240+15x2

Q: A power line is to be constructed from a power station at point A to an island at point C, which is…

A: We have to find the distance SA.

Q: For that cost function C(x)=40+x−1/2x2 find the marginal average cost when x=2.

A: Explanation of the answer is as follows

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: A firm's short-run cost curve is C(Q) = 100 + 50Q – bQ? + Q*/2. For what values of b are cost,…

A: Given: A firm’s short-run cost curve as C(Q)=100+50Q-bQ2+Q32 The values of cost, average cost and…

Q: A manufacturer's total cost equation per day is given by the equation TC = 440 + 4q +,0001Q². If…

A: Given: TC=440+4q+0001Q2 To find: Solution

Q: The total revenue curve of a firm is R(q) = 40q − 12q and its average cost A(q) = 1 30 q − 12.85q +…

A:

Q: The marginal cost function for a company is given by C'(q)=q^2-14q+70dollars/units, where q is the…

A: Given C'(q)=q2-14q+70 and  C(0)=700

Q: Given the marginal-cost function 10eª + 1.8q² – 1.4q + 6.5 and fixed cost 700, find the total-cost…

A: Given, The marginal cost function 10eq+1.8q2-1.4q+6.5 Fixed cost = 700  We have to find the total…

Q: 4. Given the cost function C(x) =120+12x Find the marginal average cost function.

A: We find the average cost function

Q: Given a cost function C(x) = 20 +10r + 5x, calculate the average cost at a productions level of r…

A: Average cost function=A(x)=C(x)x=20+10x+5x2x

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: given

Q: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 15 + 6x2 + 6y2, where x…

A:

Q: With fixed costs of Ksh. 400,000, a firm has average total costs of Ksh. 3,000 and average variable…

A: Average total cost= Average fixed cost + Average variable cost

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be…

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we  get C'(q)…

Q: Given the marginal-cost function 1.4q? – 2q + 6.5 and fixed cost 400, find the total-cost function.

A: Explanation of the answer is as follows

Q: 2. Given the cost function C(x) =140 +0.2x, use marginal cost to approximate the cost of producing…

A: To find the marginal cost function we find C'(x)

Q: Suppose that cost for a particular product is calculated using the linear equation: Cost = 25 + 3D.…

A:

Q: Given the marginal-cost function 10e9 + 1.8q² – 1.2q + 7.5 and fixed cost 500, find the total-cost…

A: The given marginal cost function is Mq=10eq+1.8q2-1.2q+7.5 and fixed cost T0=500

Q: C = 2x2 + 343x + 3,200 X = units

A:

Q: For the given cost function C(x) = 48400 + 200x + x², First, find the average cost function. Use it…

A:

Q: Assume that it costs Apple approximately C(x) = 25,600 + 100x + 0.01x² dollars to manufacture x 32GB…

A: We use second derivative test to find out minimum average cost

Q: A company has a marginal cost of $21 per item and it can produce 190 items for a total cost of…

A: A company has a marginal cost of $21 per item and it can produce 190 items for a total cost of…

Q: Given cost function C(q) = q° - 125q“ + 2500q, what quantity minimizes average cost? It would be…

A:

Q: For the cost function C(x)=300+10x+0.03x^2, show that average costs are minimized at the x value…

A: Given data: The expression for the cost function is C(x)=300+10x+0.03x2.   The expression for the…

Q: Given cost function C(q) = q° - 130q + 2600q, what quantity minimizes average cost?

A: Given that C(q)=q3−130q2+2600q Average cost is given as  C(q)=C(q)q To find the quantity which…

Q: For the given cost function C(x) = 28900 + 300x + a?, First, find the average cost function. Use it…

A:

Q: 4) Find the production level that minimizes the average cost per unit for the cost function C = 400…

A:

Q: Given cost function C(q) = q - 135q + 25000q, what is the minimum average cost? It would be $ per…

A: minimum value

Q: An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A…

A: Solution:

Q: Given the cost function c(x)=140 + 0.2x^2 for producing x item. Determine the marginal cost…

A:

Q: The average cost function for a company, C(x), is its cost function divided by the

A: To fill the given blank:

Q: If the total cost function is given by TC=300+5q+(3)/(q2), what is the marginal cost when q=3?

A:

Q: If the marginal cost of producing x units of a commodity is given by C'(x)=0.6x²+4x and the fixed…

A:

Q: Find number of units X that produces the minimum average cost unit C in given equation. C= 0.001x3…

A:

Q: An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide. A…

A: Given that an oil refinery is located 1 km north of the north bank of a straight river that is 3 km…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.