(i) A company sells hand towels at manufacture hard ae at ₹100 per unit. The fixed cost for the company to manufacture hand tables ₹35,000 and variable cost is estimated to be 30% of total revenue.What will be the total cost function for manufacturing hand towels?

(a) 35000 + 3x
(b) 35000 + 30x
(c) 35000 + 100x
(d) 35000 + 10x

(ii) If the correlation coefficient of two sets of variables (X,Y) is -3/4 which one of the following statements is true for the same set of variables?

(a) Only one of the two regression lines has a negative coefficient.
(b) Both regression coefficients are positive.
(c) Both regression coefficients are negative.
(d) One of the lines of regression is parallel to the x-axis.

(iii) If the total cost fhnction is given by C = x + 2x³ - 7/2 x², find the Marginal Average Cost function (MAC)

(iv) The equations of two lines of regression are 4x+3y+7=0 and 3x+4y+8= 0. Find the mean value of x and y.

(v) The manufacturer of a pen its selling price at ₹45,and the cost function is C(x)=30x+240.The manufacture will begin to earn profit if he sells more than 16 pens. Why?Give one reason.

Solution

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