C. A travel company is the only provider of holidays (of one week's duration) to two private island resort X and resort Y. The demand equations for such holidays are given by; x = 200 Px y = 100 - Py - Where x and y are numbers of week-long holidays at X and Y demanded (respectively) andP,Pyare (respectively) the prices of these holidays. The company's joint total cost function (that is, the cost of providing x holidays in X and y holidays inY) is 2x² + y² + 2xy Find an expression in terms of x and y for the profit the company obtains from selling
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- Would you rather have efficiency or variety? That is, one opportunity cost of the variety of products we have is that each product costs more per unit than if there were only one kind of product of a given type, like shoes. Perhaps a better question is, What is the right amount of variety? Can there be too many varieties of shoes, for example?A toy manufacturer makes miniature trucks. The pricep(in dollar) and the demandx(numberof miniature trucks) are related by the equation 6000−600p=x. The total cost for the sametoy manufacturer to producexminiature trucks can be modeled byC(x) = 8x+ 450.(a) (10 points) Express the pricepin terms of the demandx. Find the revenueR(x) if themanufacturer sellsxminiature trucks in a month and find the domain of this function.(b) (10 points) Graph the cost and revenue functions on the same coordinate system for 0≤x≤6000.(c) (10 points) What is the minimum number of trucks the toy manufacturer must sell tobreak even?(d) (10 points) FindP′(300) and interpret the result.(e) (10 points) What is the exact profit from the sale of the 301stminiature truck?A company manufacturing laundry sinks has fixed costs of $100 per day but has totalcosts of $2,500 per day when producing 15 sinks. The company has a daily demand functionof q = 360 − p, where q is the number if laundry sinks demanded and p is te price ofa laundry sink. ) If production increases continuously, what is likely to be the average cost per sink? How many laundry sinks will the company need to produce in order to maximise it′s profits? What is the maximum profit?
- A 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.Windies Cricket manufactures Windies supporter jerseys. The quantity q, of thesejerseys demanded weekly is related to the wholesale price per jersey p, by thefollowing equation:? = −0.006? + 15The weekly total cost incurred by Windies Cricket for producing q jerseys is:?(?) = 38? − 0.02?2 + 30,000a. Determine an expression to represent the weekly Revenue functionb. Determine an expression to represent the weekly Profit function.c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450jerseys?e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, whatrange(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.What is the marginal revenue for the following: qty: 100, 200 Price:39750, 39500 Revenue:3975000, 7900000 Total Cost: 2000000,4000000 Profits: 1975000,3900000 Marginal Revenue ___?, ___? Suppose that managers at Honda are deciding how to price the new Honda Accord. The managers estimate that their total costs increase by $20,000 for each car they produce. They also estimate the demand curve they face; it is described by the equation: Q = -0.4 P + 16,000, where Q represents the quantity of Honda Accords they will sell and P represents the price they charge in US dollars. We can re-write that demand curve as: P = 40,000 - 2.5 Q. Take every possibly quantity that the managers might choose between 0 and 7,000 in units of 100. For each possible quantity, calculate the associated price the managers would need to charge, the revenue they would earn, and the total costs. You can then calculate profits for each level of quantity. Highlight the cell that contains the highest value of profit.…
- What is mean by ''high powered moeny'' H? What does the demand for H consits of? Who controls the supply H?If demand function is given by P = 40 - 2Q then what is the procedure to get marginal revnue ?Assume the manager is located at point B in the diagram above, and he is charging a price ofPo. What does the demand for the firm's goods look like if the managemnt anticipates thatrivals would not match price reductions but will match price rise instead of price decrease?
- Suppose that each firm in a competitive industry has thefollowing costs: Total cost: TC=50 + 1/2q^2 Marginal cost: MC=q where q is an individual firm’s quantity produced. The marketdemand curve for this product is Demand: QD = 120 – P where P is the price and Q is the total quantity of the good.Currently, there are 9 firms in the market. a. What is each firm’s fixed cost? What is its variable cost?Give the equation for average total cost. b. Graph average total cost curve and the marginal cost curvefor q from 5 to 15. At what quantity is average total cost curve atits minimum? What us marginal cost and average total cost at thisquantity? c. Give the equation each firm’s supply curve. d. Give the equation for the market supply curve for the shortrun in which the number of firms is fixed. e. What is the equilibrium price and quantity for this market inthe short run? f. In this equilibrium, how much does each firm produce?Calculate each firm’s profit or loss. Is there incentive for…No written by hand solution Suppose that headphones can be produced at a constant marginal cost. Headphone A is priced at $20 and headphone B is priced at $30. (a) If the Lerner index of headphone A divided by the Lerner index of headphone B is 0.5, what is the marginal cost of producing headphones? (b) Using your answer to part ‘a’, what is the elasticity of demand of headphone A? What is the elasticity of demand of headphone B?Let a firm’s production function be f(K,L) = min{2K,L}.a) Solve for the contingent demand functions for Kand L.b) Substitute the contingent demand functions in the total cost that you minimized in parta) to obtain the total cost function.c) Find the minimal amount of Kand Lnecessary to produce Q= 8 when v= 2 andw= 1 (with minimal possible cost).d) Suppose the price wincreases from 1 to 2. What happens to the demands for KandLand the total cost?