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- Question 7 If TC = 88 + 140Q, what is the marginal cost when Q=29? Enter as a value. |A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per unit. 1 It estimates the cost function of the product to be Tk. 1000 + 2 50 for q units produced. (i) Find the expression for the total profit, if q units are produced and sold. (ii) Find the number of units produced that will maximize profit. (iii)What is the amount of this maximum profit? (iv) What would be the profit if 6000 units were produced?The profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors. C(x) = 2500 + 60x R(x) = 800x - x? a) Determine the maximum profit of the company. The maximum profit of the company is b) Determine the number of items that must be produced and sold to obtain the maximum profit. The number of items that must be produced and sold to obtain the maximum profit is
- AVC=10-0.03Q + 0.00005Q2TFC=60What is the TC function?What is the minimum AVC?The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is approximated by P(x) = -x° + 12x + 144x – 400, x25. Find the number of hundred thousands of pillows that must be sold to maximize profit. Find the maximum profit. The maximum profit is $ The maximum profit will occur when pillows are sold.A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 77 – 0.12D units. The fixed cost is $800 per month and the variable cost $25 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product? Round your answer to 2 decimal places.
- A company estimates that the total revenue, R, in dollars, received from the sale of q items is ? = 3000 + ln(1 + 1000?^3) and the marginal cost is ??(?) = 0.05?^2 − 1.6? + 50. Calculate and interpret the marginal profit if q = 100.A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is 2700 5000 p = 38 + (for D>1) D² The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $ 40 per unit. What is the number of units and total amount that should be produced and sold each month to maximize profit?Finf the AFC if the Total Fixed cost is 400 and the Output is 20?
- The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation. 20- 15- 10- C(x) = 6 + /2x + 32 Osx< 50 Perform the following calculations and interpret the results. 10 20 30 40 50 Production C'(x) =U %D Cost (hundred dollars)Assume TC = 400 + 2Q3 What is the marginal cost at the 4th unit? Enter as a value.Find the marginal cost, if TC is 4+2Q