A gas station sells gas for... A gas station sells gas for perliterandbuysitusingthewholesatepriceof 0.5 per liter. A storage capacity of a gas station is 700 liters per day, that is it can store any quantity of gasoline up to this capacity. A gas station cannot sell more gasoline per day than it currently stores. Suppose the demand for gasoline is uniformly distributed between 0 and 1500. Profit of a gas station is given by its revenue from selling gasoline minus the cost of buying it from a wholesaler. Provide a numerical answer to each question. 2) Given the current storage capacity, find the quantity of gasoline the gas station must store in order to maximize its expected daily profit.
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- (b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40−4q2where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit?you are an accountant for a manufacterer of radios. the demand function for the tablets is p= 40-4x2 where x is the number of tablets produced in millions. it costs the company $15 to make a tablet. write an equation for the manufactures profit as a function of the number of tablets produced. the company currently produces 1 million tablets and makes a profit of $21000000, but you would like to scale up production a bit, what greater number of tablets could the company produce to yield the same profit(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p 40 – 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (1) Write an equation giving profit as a function of the number of lightweight compasses produced. (11) At the moment the company produces 2 million lightweight compasses and makes a pre of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Σ BIUG G |卡 三 = 9 ..
- A7 You are the manager of a bakery that produces and packages gourmet muffins, and you currently sell muffins in packages of 3. A consultant’s report has estimated the (inverse) demand of a typical consumer to: P = 3 − 0.5Q If your cost of producing bran muffins is C(Q) = Q: (a) What is the marginal cost of muffins? (b) Draw the demand and marginal cost on a diagram. (c) Determine the optimal number of muffins to sell in a single package. (d) What price should the firm charge for each park?You are the CEO for a lightweight compasses manufacturer. The demandfunction for the lightweight compasses is given by p = 40 − 4q2where q is the number of lightweight compasses produced in millions.It costs the company $15 to make a lightweight compass.(i) Write an equation giving profit as a function of the number of lightweight compasses produced.The soluation avilible I believe it is wrong so please solve it carefully Carl and Simon are the only sellers of pumpkins at the market, where the total demand function for pumpkins is q =3 ,200−1,600p. The total number of pumpkins sold at the market is q = qC + qS, where qC is the number that Carl sells, qS is the number that Simon sells. The cost of producing pumpkins for each farmer is $.50 per pumpkin; the fixed costs are zero. .a. Find the Cournot equilibrium price and quantities. .b. Find the Bertrand equilibrium price and quantities. . .c. Suppose now that every spring the snow thaws off of Carl’s pumpkin field a week before it thaws off of Simon’s. Therefore, Carl can plant his pumpkins one week earlier than Simon while predicting Simon’s choice based on the previous year information. Simon observes Carl’s choice and chooses how much pumpkin to plant. Find the new equilibrium price and quantities. .d. Compare the quantities and prices in parts a, b, and c. Rank these outcomes…
- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…Assuming you are the managing director of a firm that produces three goods: A, Band C. The price elasticity of demand for A is 1.2, for B it is 1.00 and for C it is 0.75.It is known that he firm is experiencing serious cash flow problems and you have toincrease total revenue as soon as possible. If you were in a position to set the pricesfor these goods, what would be your pricing strategy for each productA company produces a special new type of TV. The company has fixed costs of $498,000, and it costs $1300 to produce each TV. The company projects that if it charges a price of $2400 for the TV, it will be able to sell 700 TVs. If the company wants to sell 750 TVs, however, it must lower the price to $2100. Assume a linear demand What is the maximum profit that can be reached? It is $ (Round answer to nearest cent.)
- Suppose that Spacely Sprockets' marginal cost of a jacket is a constant $150 and the total fixed cost at one of its stores is $3,000 a day. This particular store seils 40 jackets a day, which is its profit-maximizing number of jackets. The nearby stores begin to advertise their jackets. The Spacely Sprockets store now spends $1,500 a day advertising its jackets, and its profit-maximizing number of jackets sold jumps to 50 a day. What happens to the price of a Spacely Sprockets' jacket, Spacely Sprockets' markup, and Spacely Sprockets' economic profit?The following graph depicts the costs incurred by a Local egg seller, Rahim. Rahim is faced with strong competitors who are selling exactly the same product. Use the graph to answer the following questions- Price/Cost per egg MC 12 ATC MR3 AVC MR2 MR1 Quantity 100 200 300 400 a)lf the market price per egg is 8tk, in order to maximize profit how many eggs does Rahim sell? b)lf the price stays at 8tk, what happens in the long run? choose from the following options. option 1: Rahim stops selling eggs. option 2 : New firms enter into the egg market option 3: all existing sellers suffer from an economic loss. c)lf the price falls down to 3tk price, which of the following option does Rahim have in short run? option1: Temporarily shutting down the business business option 2 : staying in generating no profit option 3: indifferent between staying in and going Out of the market. butSuppose that BMW can produce any quantity of cars at a constant marginal cost equal to$50 and a fixed cost of $22,500. You are asked to advise the CEO as to what prices andquantities BMW should set for sales in Europe and in the United States to maximize its profits.The demand for BMWs in each market is given by:QE = 8,000 – 80PE and QU = 4,000 – 20 PU,where the subscript E denotes Europe, the subscript U denotes the United States. Assume thatBMW can restrict U.S. sales to authorized BMW dealers only. Support your answersgraphically as well.a. If, by an international agreement between Europe and United States, BMW wereforced to charge the same price in each market, what would be the quantity sold in eachmarket, the equilibrium price, and the company’s profit?b. Suppose now that Europe and United States signed a new trade package under whichBMW now can charge different prices across the two markets. What quantity of BMWsshould the firm sell in each market, and what should the price be…