The total Revenue curve of a firm is R(q) = 40q -12q^2 and its average cost A(q) = 1/30q^2 – 12.85q + 20 + 400/q, where q is the firm’s output. (i) Derive an expression C(q) for the firm’s total cost function. (ii) Derive an expression for the firm’s profit function. (iii) Is the rate of change of profit increasing or decreasing when the output level of the firm is 10 units? (iv) Determine the level of output for which the firm's profit is maximized (v) What is the firm’s maximum profit?

Q: The firm has total fixed costs of $9 and a constant marginal cost of $3 per unit. The firm will…

A: Here, total fixed cost of a firm is given as $9 and constant marginal cost is given as $3 per unit.…

Q: If the profit function for a firm is given by  P(x) = −3800 + 210x − x2  and limitations on space…

A: The profit function for a firm is given by P(x)=-3800+210x-x2 At Break Even point the profit of the…

Q: The manufacturer of an energy drink spends $1.28 to make each drink and sells them for $3.27. The…

A: Given information: A manufacturer of energy drinks spends $1.28 to make each drink and sells them…

Q: company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A: (a) Total cost is the sum of fixed cost and variable cost.  Fixed cost for manufacturing the sink is…

Q: To calculate a firm's per unit of output profit, it is necessary to subtract Select one: a. cost per…

A: Hey, Thank you for the question. According to our policy, we can only answer 1 question per session.…

Q: The cost function for flavored coffee at an upscale coffeehouse is given in dollars by C(x) = 3x +…

A: The break-even point is the sum of earnings required to fund a business's cumulative fixed and…

Q: Suppose a company has fixed costs of $53,200 and variable cost per unit of 1/3x + 444 dollars,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: The TC (total cost) demonstrates the sum of FC  (fixed cost) and the VC (variable cost). And the MC…

Q: pharmaceutical company faces the following demand function for one of its products in the American…

A: Price Elasticity of Demand = % change in quantity ÷ % change in price  % change in quantity =…

Q: Find economic profit if total revenue is $4000 , explicit cost is $700 and implicit cost is $500

A: The data presented in the question above is:- Total revenue = $4000 Explicit cost = $700 Implicit…

Q: A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to produce each…

A: The cost function is a summation of the fixed and the variable cost involved in producing one unit…

Q: where is the explanation of the new optimal profit if total costs rise to $353?

A: According to Bartleby guidelines we answer only one question per session and hence the last tutor…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 183 + 0.3x and R(x) = 9x -…

A: Marginal profit function measures how much the profit changes when there is a unit change in the…

Q: How Break Even Analysis brings changes between fixed and variable cost relations that affect the…

A: Break-even analysis explains the relationship between revenue and cost(cost = Fixed cost + variable…

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: Answer to the question is as follows:

Q: A firm’s objective is to Maximize Profits and Minimize Costs. Demand is Q = 600 – 3*P. The firm’s…

A:

Q: A company has a linear total cost function and has determined that over the next three months it can…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Which one of the following would be regarded as a variable cost for a firm?   Select one: a. the…

A: Meaning of Variable Cost: The term variable costs are those cost which changes or fluctuates, as…

Q: The market for high-quality matsutake mushrooms is dependent on the weather. If the weather is good,…

A: Condition for profit maximization is given as  MR=MC MR is the marginal revenue and  MC is the…

Q: The figure below shows the long-run average cost curve for the only firm producing electricity in…

A: Economies of scale occurs when firm increases level of production and average of cost of production…

Q: 1.  It costs $25,000 to build 30 refrigerators. It costs $30,000 to build 40 refrigerators.…

A: Cost: It is the value of goods and services in terms of money.

Q: what is the ordered pair ?

A: The break even point in any business is where your revenue is just equal to your expenses. The cost…

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: (Since there are many subparts in the question, we are going to answer the first three subparts…

Q: The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising…

A: Price per serving of pasta (P) = 55 cents or $0.55 Cost of pasta per serving = 17 cents or $0.17…

Q: Average fixed cost is 0 at zero level of output True/False

A: # Average fixed cost is given by the ratio of total fixed cost and total quantity.

Q: When a firm is experiencing economies of scale, long-run Group of answer choices average total cost…

A: Economies of scale is a situation in economy where the organizations or firms are able to produce…

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A: According to the question given, the daily cost schedule of the laundry sink manufacturer has…

Q: The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) =1/30q2 − 12.85q +…

A: R(q) = 40q − 12q2  A(q) = 1/30 q2 − 12.85q + 20 + 400/q Total cost = A(q) * q

Q: The demand equation of a certain product is p=90-q-q². The total cost function is c=50+q-0.1q². Find…

A: Profit refers to the portion of the total revenue that is left to a producer once all factor inputs…

Q: Calculate the total revenue if explicit costs of the firm are $400 and the accounting profit is $850

A: Given information is :- Explicit costs = $400 Accounting profit = $850 We need to find the value of…

Q: It costs a coat manufacturer $8750 to make 125 coats and it costs $6500 to make 80 coats.  Each coat…

A: According to the question,  It costs a coat manufacturer $8750 to make 125 coats and it costs $6500…

Q: Find the marginal and average functiions for the following total functions: a) Total cost function:…

A: Marginal cost measures the change in total cost with an additional unit of production.

Q: Tasty Inc. sells table salt to both retail grocery chains and commercial users (e.g., bakeries,…

A:

Q: orderd pair ?

A: The given values are as follows.

Q: computer retailing company specializes in the sale of jump drives to community college udents. The…

A: Given :  Demand Function : p=2x2+10x+1000 Average Cost Function : c¯=2x2+36x-1600-20x

Q: Can you please solve  question # 14

A: The fixed cost of the company is said to be $30,000 and the variable cost which varies per unit…

Q: A manufacturer assembles personal computers. If the computers are priced at £1,000 each, the company…

A: Given information: At a price of 1000, sales are 30 units At a price of 800, sales are 50 units The…

Q: A small business can produce a maximum of 43 of its product per month and sell them for $7 each. The…

A: Given information: A small business can produce a maximum of 43 units of its product per month, and…

Q: Find a maximum profit for a firm if its total revenue function is TR = 50Q - Q2 and its total cost…

A: Profit maximization occurs at the point where the Marginal revenue and Marginal cost are same.…

Q: For a certain product, suppose that total costs are given by c(x) = 1600 + 1500x and total revenues…

A: b. Profit (P) is calculated by the difference between total cost [c(x)] and total revenue [R(x)].…

Q: Suppose the revenue function for the sale of a product is r(x)= -3x^2+30x and the cost function is…

A: * SOLUTION :-  Given that,  The revenue function  R(x) = -3x^2+30x The cost function C(x)= 6x

Q: A company is planning to manufacture PDAs personal digital assistants. The fixed cost will be…

A: Fixed cost are the cost which is independent of the total output produced. In contrast to this,…