2- Estimate the equlibrium price and quantity of the market whose demand and supply functions are pa = -(+ 4)² + 100 and ps = (q+ 2)² respectively. %3D %3D 6. 4 2 A Publishing House Scripture quotation: NIV
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Question
1a. Estimate the
1b. If the region shaded grey in the diagram above represents a set, derive the system of inequalities that define that region.
2. The profit function, in dollars for a product given by
p(x)= -x^3 + 76x^2 - 380x - 2800
Where x is the number of units produced and sold. If the break-even point occurs when 10 units are produced and sold
a. Find the quadratic factor of P(x)
b. Find finds the number of units other than 10 that give break-even for the product.
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- Q29 a government mandated price which is set below the equilibrium price in order to prevent thr price from rising any further is termed choices - price floor - price ceiling - import tariff - export tariffBased on the attached equation. Determine the following (a) Buyer’s price after tax(b) Seller’s Price after tax(c) Quantity after taxThe ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f (P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54…
- The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f (P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54…The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54…The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54…
- Cloud Cafe is considering the sale of promotional mugs. It can have the mugs produced by one of two suppliers. Supplier A will charge them a setup fee of Php13000 plus Php40 for each mug; Supplier B has no setup fee and will charge Php60 per mug. The company estimates its demand for mugs to be given by Q=32000-400P, where P is the price in Philippine peso and Q is the number of mugs (hint: the price equation is P=80-0.0025Q). In order to make sound decisions, the company's management asked the assistance of their student trainees from FEU in assessing the cost and revenue implications of the promotional campaign. 1. If the company wants to give the mugs away for free, how many mugs should it order? 2. What is the company's marginal cost if Supplier A is chosen? 3. What is the company's marginal cost if supplier B is chosen? 4. If the company seeks to maximize profit from selling mugs and Supplier A is chosen, how many mugs should the company order? 5. If the company seeks to maximize…Formulate the demand equations and estimate Qd for P=33 by using the following data: Price level Quantity Demand 38 200 36 500 34 800 32 900 30 1000 28 1400Apply the properties of functions to correctly determine and interpret the break-even point in the following situations, using valid mathematical procedures and correct mathematical notation. Express your answer in terms of the context of the problem. The supply and demand equations for a certain product are: (1) and (2) respectively, where p represents the price per unit in dollars and q, the number of units sold per period. 3q - 200p + 1800 = 0 3q + 100p - 1800 = 0 Algebraically find the equilibrium price. Find and interpret the equilibrium price when a supplier tax of 27 cents per unit is imposed.
- Estimate the equlibrium price and quantity of the market whose demand and supply functions are pd =−(q + 4)2 + 100 and ps = (q + 2)2 respectively.Consider the “Trip Logistic” example discussed in class (i.e. base case). Please solve the same problem with each of the following changes, and compare the results with those of the basecase: a) The spot market price (in period 0) is reduced to $0.55 per sq. ft. per year. Assume that everything else remains the same as the base-case. b) There is a lower demand uncertainty: Demand can go up by 5% with p= 0.5 or down by 5% with 1 − p= 0.5. Assume that everything else remains the same as the base-case.Demand and supply in a market are described by the equations Qs= 1800 + 240P Qd= 3550 - 266P a) Solve algebraically to find equilibrium P and Q b) Draw the demand and supply curve and show equilibrium