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4. A manufacturing Co. has a Total Fixed Cost of Br. 20,000 & a Unit Variable Cost of Br.10. if the co. can
sell .What it produces at a price of Br. 20,
(a) Write the Revenue, cost & Profit functions
(b) Find the breakeven point in terms of quantity and sales volume
(c) Show diagrammatically the Total Revenue, Total Cost, Total Profit, Fixed Cost and
Variable Costs.
(d) Interpret the results
3. A firm sells a product for birr 60 per unit. Raw material cost are birr 13 per unit, laborcosts are birr 20 per
unit, and annual fixed costs are birr 340,000.
(a) Determine the profit function.
(b) How many units would have to sold to earn an annual profit of birr 240,000?
(c) Determine the amount of contribution to the fixed cost and profit, if the firm sells
10,000units.
Suppose we have birr 36 to spend on pork and chicken. If we buy P pounds of pork at birr 3per pound and C
pounds of chicken at birr 2 per pound.
(a) What would be our total expenditure equation?
(b) Write the above equations in (a) for C in terms of P and interpret the slope and
Y-intercept.
1. The chairman is trying to forecast the number of tourists who would be visiting the city of Adama in the coming year. Some students from Royal College have examined the problem as part of course project. They estimated the current year’s volume as 110,000 tourists. They have also projected that the volume in the next year will be 120,000 and the volume in the future will continues to grow at the same rate. Determine equation of a line which relates the number of tourists, P, to year’s t as measured from this current year?
45) Find the integral surface of the equation x(y ^ 2 + z) * p - y(x ^ 2 + z) * q = (x ^ 2 - y ^ 2) * z whic the straight line x + y = 0, z = 1
What is P(x<64)?
Find the p and q
1.) x=18;n=100
random samples of size n = 3. Calculate the population mean, population variance, and population standard deviation. Illustrate the sampling distributions of the sample means and sample variances and standard deviations.
Given Lim f(x)=4 and lim g(x)=1/4,
x-›c. x->c
Evaluate the following limits
1.) Lim [-2*f(x)]
x->c
3.) Lim [f(x) +g(x)]
x->c
In a study of inter spousal aggression and its possible effect on child behavior, the Behavior Problem Checklist (BPC) scores were recorded for 47 children and whose parents were classified as aggressive. The sample mean and standard deviation were 7.92 and 3.45, respectively. For a sample of 38 children whose parents were classified as non-aggressive, the mean and standard deviation of the BPC scores were 5.80 and 2.87, respectively. Do these observations substantiate the conjecture that the children of aggressive families have higher mean BPC than those of non- aggressive families? Use a significance level of 0.05.
