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- The demand and total profit function, P(x) for rooms in a hotel are given as follows. 3x = 600 - P P(x) = 450x – 3.5x2 - 4000 Where p is the price in ringgit per room and x is the quantity of room rented. Determine the marginal cost when 2 rooms are rentedA firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.40 - 2P and its total cost 5. A firm's demand function is Q function is defined as TC = 100 + 2Q + 0.25 Q? . Use these two functions to form the firm's profit function and then determine the level of output that yields the profit maximum. What is the level of profit at the optimum level of output?
- The figure deplcts the demand curve for Beautiful Cars, and the marginal cost and Isoprofit curves of the car manufacturer. The quantity and price at polnt E are (Q*. P*) - (30, 5,500). Suppose now that the firm Increases the price to 5,550 and chooses the corresponding level of output from the demand function at the new price. Based on this Information, whlch of the following Is correct? 8,000 Demand curve 100 Quantity of cars, O O The firm will sell 30 cars at the higher price. O The firm's profit remains the same. O The quantity of cars produced reduced. O Tho firm's profit is now incroasod Price, Marginal cost ($)A firm's demand function is Q = 16 -P and its total cost function is defined as TC = 3 + Q+ 0.25Q² Use these two functions to form the firm's profit function and then determine the level of output that yields the profit maximum. What is the level of profit at the optimum?A firm's demand function is Q = 16 – P and its total cost function is defined as TC = 3 + Q +0.25Q 2 . Use these two functions to form the firm's profit function and then determine the level ofoutput that yields the profit maximum. What is the level of profit at the optimum?
- he total revenue curve of a firm is R(q)=40q−12q and its average cost A(q)=130q−12.85q+20 +400q,where q is the firms output. i. Derive an expression C(q) for the firms total cost function. ii. Derive an expression Π(q) for the firms profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firms profit is maximized. v. What is the firmss maximum profit?Suposse a munufacture of widgets has a fixcost of $2500, a variable cost of $30 per widget ans sell 100 widgets for 4,500. Find the cost function C(n) Find the revenue function R(n) Find the profit function P(n)Suppose there are 7 firms in this industry, each of which has the cost curves previously shown.
- Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750mlsize is q = 4000 − 250p and his total cost function is C(q) = 500 + 0.2q.(i) Derive an expression, R(q) for Teddy J′s total revenue curve.(ii) Derive an expression, Π(q) for Teddy J's profit function.(iii) Determine whether Teddy J′s profit is increasing or decreasing whenhe produces 5 hundred, 750ml bottles of dish washing liquid.(iv) How many 750ml bottles of dish washing liquid should Teddy J produceper month if he wishes to maximize his profits. thank you for your helpYour firm "We Work Eot U" rents access to shared open office spaces for a price of S540 per year. The market is perfectly competitive as consumers have many of these "We Work" rental companies to choose from. Your firm's total revenue function is written: TR = (540) Q. The total cost function is written: TC = 80,000+ 40Q + 0.5Q? a. To maximize profits, what is the optimal number of office spaces to rent? Show your work. b. How much (in dollars) are total profits at the profit-maximizing output level? Show your work. c. In the long run, assuming no barriers to entry and exit into this industry, what will happen to profits and to the market price?A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (b) Find a function for the average cost of this company?