3582492986

Max. Marks : 60 Time : 2 hrs

DTSS / FY Sem - II / 2013 / Maths & Stat. !j-»n

N.B. 1) Attempt any 2 ąuestions from Section I and 3 from Section II.

2)    Figures to the right indicate marks.

3)    Use of simple calculators is allowed.

4)    Graph papers will be supplied on reąuest.

SECTION - I

Q.l. (a) The cost of manufacturing x items of a product is given by C = 2x² + 3x + 10. Find the total cost, average cost, marginal cost and the marginal average cost if 10 items are manufactured?    (4)

(b)    The supply function is s = p² - 2p + 2, where p in thousands and s

is in tons. Find (i) the supply when price is 5, (ii) the price when supplyislO.    (4)

(c)    Find ^ (i) y = x³ + ^ , (ii) y = {x + 2)e*.    (4)

Q.2. (a)

(b)

(c)

P + 6

The demand D when the price is P is given by D = p'~~2 * Find the

ratę of change of demand when the price is 4.    (4)

The demand function p in terms of ąuantity demanded (D) is given by p = 30 + 12D - 4D². Find total revenue, average revenue and marginal revenue when the demand is 4 units.    (4)

Find ^ (i) y = (2x3) + (109Vx) (ii) y = e* + x“³.    (4)

Q.3.    (a) A simple interest of ? 3,240 is received after 3 years on a certain

Principal at the ratę of 9% per annum. How much simple interest will be obtained after 5% years from the same principle at the ratę of 7% p.a.?    (4)

(b)    Find the amount and the compound interest on ? 1,500 for 4 years

at 12% calculated on yearly basis.    (4)

(c)    Harsha opened a recurring deposit in a bank for 4 years with

payments of ? 5,000, paid at the end of each year. Find the money obtained at the end of period with 6% p.a.    (4)