A manufacturer’s marginal cost (MC) function is given by: MC = 1000 √3?+12 Find the equation of the total cost function if total costs are 5200 when ? = 8. b) A population of size ? is decreasing according to the law ?? = −? ?? 250 where ? denotes the time in days. If initially the population is of size ?0 (that is, when ? = 0, ? = ?0) find how long it takes for the size of the population to be halved.

Q: The per-unit cist of an item is its average total cost=(=total cost/quantity). Suppose that a new…

A: a.)Total cost:Total cost can be calculated as follows:

Q: Suppose the production function for good q is given by q = (k+1)¹/2 where k and I are capital and…

A: Diminishing marginal productivity refers that as we increase the amount of input, the additional…

Q: (b) If the average cost function of a good is 16 4· AC = 12x + 4 + find an expression for marginal…

A: The total cost incurred by a firm operating in a market includes fixed costs and variable costs.…

Q: A company estimates that the total revenue, R, in dollars, received from the sale  of q items is ? =…

A: The revenue function is given by: R(q) = 3000 + ln(1 + 1000q^3) Taking the derivative with respect…

Q: The table shows the quantity of gold bars (in thousands) and the extraction cost per gold bar (in…

A: The data regarding the number of gold bars and their extraction is given below. Quantity of Gold…

Q: A company produces two different versions of a certain product. Let q₁ indicate the amount produced…

A: There are two different versions of a good : q1 & q2Cost function of q1 : c(q1)  =

Q: Cost, Revenue & Profit For these problems, xx will represent the number of items and yy will…

A: Slope intercept form: Y=AX + B

Q: A skateboard manufacturer produces skateboards at a cost of $45 each, monthly fixed cost of $9000.…

A: Per unit cost of skateboards: $45 Monthly fixed cost: $9000 Let x be the quantity of skateboards…

Q: The productivity of a country is given by f(x,y) = 100x0.650.35, where x is the amount of labor and…

A: Marginal productivity is defined as the change in the total productivity due to change in the amount…

Q: 21 3 3 The productivity of a country is given by f(x,y) = 900xy, where x and y are the amount of…

A: Production functions play a crucial role in fostering prosperity, and transforming resources into…

Q: Graph the average total cost curve

A: Total Cost is defined as the total expenditure that is incurred to produce the total…

Q: MyCollege Clothing Company manufactures expensive sweatshirts to sell to college bookstores in…

A: Answer: Note: we are not allowed to provide handwritten solutions it is strictly prohibited. (A).…

Q: that a certain company sells each kg of the product it manufactures at $80, it is also known that…

A: The break point in economics aspects, business — and explicitly cost bookkeeping — is the place…

Q: A company with two different plants manufactures guitars and banjos. Its production costs for each…

A: The cost of production of a firm involves costs of labor, raw materials, and capital. Out of the…

Q: The cost of controlling carbon dioxide emissions [C(E)] at a firm goes up rapidly as the amount of…

A: Marginal cost is defined as the additional cost incurred by a firm when it produces an additional…

Q: (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level…

A: Marginal cost addresses the incremental costs caused while producing extra units of a good or…

Q: When x thousand dollars are spent on labor and y thousand dollars on equipment, the output of a…

A: Given;  Q(x,y)=240x3/8y5/8 and; x+y=200y=200-x       .......equation a

Q: c. Find the profit and the instantaneous rate of change of profit at a production level of 800 car…

A: Profit is said to be the revenue generated by a firm over its cost, which can be calculated using…

Q: The wage rate of Zeta Corp. employees is 20 million per month, while the cost of one unit of machine…

A: The optimal level of production  is the result where the minor income got from the last unit…

Q: It is estimated that a grocer’s daily profit from the sale of two brands of cherry juice is given by…

A: We are going to find the stationary points to classify further whether these values provide maxima…

Q: Q4 The output of a production process, Q, is given by the function KL K+ 2L where K and L denote…

A: Given, Q= KL/K+2L

Q: New Question Consider Exercise 3 again. Suppose the owner of the trawler can sell all the fish…

A: Cost is defined as the expenditure. It is expressed in terms of money value in the production…

Q: The time to assemble the first unit on a production line is 17 hours. The learning rate is 0.89.…

A: First Unit (T1) = 17 we need to find T7 According to Learning curve formula, Yx = kxnThe assembled…

Q: Select all statements that are true using the attached chart. A.)Breakeven is the quantity where TR…

A:

Q: If 150 labor hours were required to produce the 1st unit in a production run and 40 labor hours were…

A: The learning curve, sometimes referred to as their interaction curve or output curve, is an idea…

Q: Given Q=100kL0.5 , C=1200 w=30   r=40 (a)Determine the quantity of labour and capital the firm…

A: The production function shows the relationship between inputs and output. The inputs are capital (k)…

Q: An oil refinery produces one base type of crude oil. The total cost is given by the equation Total…

A: The total cost of oil refinery TC=50000+20.2D+0.0001D2 The sale price is $35 per barrel. That means…

Q: 1. Minimize the costs for a firm faced with the cost function C=3x² + 2xy +5y² +500 subject to the…

A:

Q: a) Given that a firm has a production technology, y= (x² + x²) ²³/₁ derive the MRTS12

A: The production function shows the rrealtionship between the input used and the outtput produced.…

Q: If TC=42+ 20Q+4Q2, what is the marginal cost at when Q=10? Enter as a value.

A: The marginal cost in economics is the variation in total production costs that results from creating…

Q: Isocost and Production functions What is the optimal mix of x₁ and X₂? C = 5x₁ + 10x₂ Q = 10x₁³x₂+

A: To find the optimal mix of factors of production of a production unit, the least-cost combination of…

Q: Given Q=100k0.5L0.5 , C=1200 w=30   r=40 (a)Determine the quantity of labour and capital the firm…

A: In case of production of two goods, a firm finds its equilibrium where the ratio of marginal product…

Q: do fast i will 10 upvotes.

A: The objective of the question is to find the cost function associated with the given production…

Q: Out of 10000 people in a community, each is willing to pay Ksh 10 for each well dug. The cost of…

A: Pareto efficiency, a concept in economics, occurs when a situation is optimized so that no…

Q: Determine the returns to scale for the following production functions. a) ? = K + 7L b) ? = KL3

A: Return to scale:- Returns to scale is a phrase that describes how proportionally fluctuations in…

Q: farmer has 8 hectares of agricultural land. The farmer will plant the land with rice and corn. 3…

A: According to economics, average cost or unit cost is the total cost (TC) divided by the number of…