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- The inverse demand for tea is given by P= 10 – 0.04Q, where Pis the price per a gram of tea and Qis the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.01q,?, where qı is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.01q2², where qp is the number of grams of tea it brings to market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number - Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £ NumberThe inverse demand for tea is given by P = 8 – 0.03Q, where Pis the price per a gram of tea and Q is the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.02q,?, where q, is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.02q22, where q2 is the number of grams of tea it brings to %3D %3D market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £…The marginal cost pricing model calculates a markup over marginal costs using estimates of the price elasticity of demand. Will any other pricing strategy result in higher profits?
- There are two different demand curves at your movie theaters. During the weekends, the inverse demand function is P=20-0.001Q, on weekdays, it is P=15-0.002Q. The marginal cost if 25,000 per movie. Determine prices for the weekends and weekdays.Assume demand is: P = 76 – Q - and total cost is: TC = 20 + Q² What is the quantity that maximizes profit? (type your answer below)Suppose you are the marketing manager for Fruit of the Loom. An individual's inverse demand for Fruit of the Loom women's underwear is estimated to be P = 25 - 3Q (in cents). If the cost to Fruit of the Loom to produce an item of women's underwear is C(Q) = 1 + 4Q (in cents), compute the profit Fruit of the Loom will earn by charging the optimal block price. . . :. . $0.73 $1.37 $108.50 $136.50
- Based on Zangwill (1992). Murray Manufacturing runs a day shift and a night shift. Regardless of the number of units produced, the only production cost during a shift is a setup cost. It costs $8000 to run the day shift and $4500 to run the night shift. Demand for the next two days is as follows: day 1, 2000; night 1, 3000; day 2, 2000; night 2, 3000. It costs $1 per unit to hold a unit in inventory for a shift. a. Determine a production schedule that minimizes the sum of setup and inventory costs. All demand must be met on time. (Note: Not all shifts have to be run.) b. After listening to a seminar on the virtues of the Japanese theory of production, Murray has cut the setup cost of its day shift to $1000 per shift and the setup cost of its night shift to $3500 per shift. Now determine a production schedule that minimizes the sum of setup and inventory costs. All demand must be met on time. Show that the decrease in setup costs has actually raised the average inventory level. Is this…The demand function p=2000-3q2 and total cost C=2q2+800. Find the price that maximizes profit.Widget Sales Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions: p(x)=60-1.20x C(a) = 210 + 12x |R(x) = xp(x) = x(60 - 1.20x) Revenue function where x is in thousands of widgets and C(x) and R(x) are in thousands of dollars. The price p(z) is the price in dollars of one widget when the demand is a thousand widgets. All three functions have domain 1 ≤ ≤ 50. Use this information to answer questions 1-10 below. Price-demand function Cost function
- Best Orange Juice Company is located in Oman. The cost function for total orange juice production (x) is given by C(q) = 0.25x2. Their orange juice is demanded only in Muscat (Muscat demand is xm= 100-2Pm) and Salalah (Salalah demand is xs= 100-4Ps). Therefore, the total demand is x=xm+ xs. If the company can control the quantities supplied to each market, how many should it sell in each location to maximize total profits? What price would it charge in each location?A boutique chocolate manufacturer produces 2 types of chocolate, Dark chocolate, and Milk chocolate daily with a total cost function: TC = 7D + D x M + 3M where: D is the quantity of the Dark chocolate (in kgs) and M is the quantity of the Milk chocolate (in kgs). The prices that can be charged are determined by supply and demand forces and are influenced by the quantities of each type of chocolate according to the following equations: PD = 20-D + 5M for the price (in dollars per kg) of the Dark chocolate and PM 23 + 3D - M for the price (in dollars per kg) of the Milk chocolate. The total revenue is given by the equation: TR = PD XD + PM × M and the profit given by the equation Profit = TR-TC First, use a substitution of the price variables to express the profit in terms of D and M only. Using the method of Lagrange Multipliers find the maximum profit when total production (quantity) is restricted to 2023 kgs. Note D or M need not be whole numbers. Be sure to show that your solution…Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions: p(x) = 60 - 1.20x C(x) = 210 + 12x R(x) = xp(x) = x(60 - 1.20x) Revenue function Price-demand function Cost function where x is in thousands of widgets and C(x) and R(x) are in thousands of dollars. The price p(x) is the price in dollars of one widget when the demand is a thousand widgets. All three functions have domain 1 ≤ x ≤ 50. Use this information to answer questions 1-10 below.