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6. XYZ company’s cost function for the next four months is C = 500,000+5Q


(a) Find the BE dollar volume of sales if the selling price is br. 6 / unit


(b) What would be the company’s cost if it decides to shut down operations for the next four months


(c) If, because of strike, the most the company can produce is br. 100,000 units, should it


shutdown? Why or why not?

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.

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

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.


Show that the propositions p1,p2,p3,p4, and p5 can be shown to be equivalent by proving that the conditional statements p1→p4, p3→p1, p4→p2, p2→p5, and p5→p3 are true.

Directions: find (f-g)(x) using the two functions given in each number.



1.f(x) =3 x


g(x) =-4x+1



2.f(x) =2x


g(x)= 4x2+2x-2



3.f(x) =5x+1


g(x) =3x



4.f(x) =5x+2


g(x)=3x-5



5.f(x) =3x


g(x) =4x²+5x-4


Show that the sequence En=(1+1/n)^n is bounded and increasing

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