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The market structure of the local pizza industry is best characterised by
The market demand for Pizza Shack is: Qd = 225 – 10P.
Pizza Shack’s cost function is: C(Q) = 0.15Q^2
Where Q^2 refers to q squared
2. Re-write the demand function in price form:
Step by step
Solved in 3 steps
- AMCO is a firm producing tables in Spain. It has a fixed cost of 100$ and a cost per unit of production of 2$. The demand function for a table is given by: P = 60 - 4Q 1. Find the equations of TR and TC. 2. Write down the equation of the profit. 3. Find Qwhen TR = 0 (x-intercept/roots). 4. Find Qwhen TR is a maximum. 5. Deduce the maximum total revenue (TR max).Dalahla Company Limited, focusing on producing tooth paste (in units) has a demand function4? = 35 − 0.5?. If total fixed cost is GH¢80 and average variable cost per unit function is 3? −51+325/Q, where Q is number of tooth paste produced and P is the price per tooth paste (in GH¢).What is the total profit at the profit maximizing level of output, and what is the best pricing policyoption?One of the market structure that is best characterized by monopolistic competition is pizza market. Say Classico's Pizza is one of such producers in the local market. The demand for Classico's Pizza is: Qd = 225 - 10P and Classico's cost function is: C(Q) 0.15Q2. Determine Classico's long run level of output and price
- In the long run period, a small number of firms produces the differentiated product "X" in a monopolistic competition market. The total demand for this product "X" can be written as: Qp(p) = 1350 – 45p The total cost function is: 1 TC = q³ – 3q² + 40q 10 What is the number of firms in this market?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 £ NumberWidget 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
- The 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 market structure of the local pizza industry is best characterised by monopolistic competition. Pizza Shack is one of the producers in the local market.The market demand for Pizza Shack is: Qd = 225 – 10P.Pizza Shack’s cost function is: C(Q) = 0.15Q^2Where Q^2 refers to q squared3. Derive the total revenue equation: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 ofoutput that yields the profit maximum. What is the level of profit at the optimum?
- 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.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 startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down?