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- DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 Explain the interceptand the coefficients of Pc, M, and PA.DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 6. If tax revenue per capita (M) increases by 10, what will happen to the estimated quantity of cement demanded? 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.A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?
- A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?A. Modified TRUE of FALSE. Write T if the statement is TRUE and CHANGE the underlineword if the statement is FALSE. _______________6. Industry is a sector in the economy engaged in the process ofproducing goods and commodities using tools, machineries andvarious equipment.DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 3. What can you say about the relationship between cement and asphalt? Why? 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.
- Metropolitan Hospital has estimated its average monthly bed needs asN = 1;000 + 9Xwhere X = time period (months); January 2002 = 0N = monthly bed needsAssume that no new hospital additions are expected in the area in the foreseeable future. The following monthly seasonal adjustment factors have been estimated, using data from the past five years:MONTH ADJUSTMENT FACTOR (%)January +5April −15July +4November −5December −25a. Forecast Metropolitan’s bed demand for January, April, July, November, and December 2007.b. If the following actual and forecast values for June bed demands have been recorded, what seasonal adjustment factor would you recommend be used in making future June forecasts?YEAR FORECAST ACTUAL2007 1,045 1,0962006 937…in excel Price Demand 2000 4500 2800 3600 3500 1850 4000 1200 5000 820 Based on the data above estimate the demand function. When you estimate demand curve, please compare the following options and choose the one with highest R square Exponential Linear PowerA large company in the communication and publishing industry has quantified the relationshipbetween the price of one of its products and the demand for this product as Price = 150 − 0.01× Demand for an annual printing of this particular product. The fixed costs per year (i.e., perprinting) = RM50,000 and the variable cost per unit= RM40. a) Analyze what is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year. b) Compute what is the unit price at this point of optimal demand.
- A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately D = 1560 – 20p units (D is the demand of quantity sold per month, and p is in dollars.) The fixed cost is $800 per month, and the variable cost is $30 per unit produced. The demand that maximizes the revenue is:A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answer4 The fraction of z-scores that fall within z = ±1.60 is ________. a 0.8904 b 0.8729 c 0.8558 d 0.8390