Question

Q#01: The vaccine of Corona virus manufactured by pharmaceutical firm is sold in bulk at a price of $200 per unit. If the total production cost (in dollars) for x units is
() = + + .
Since the production capacity of the firm is at most 30000 units in a specified time, how
many units of vaccine must be manufactured & sold in that time to maximize the profit?

Answer 1

Answer:

Step-by-step explanation:

21

Answer 2

Answer:

This implies that

x2+2ax=4x−4a−13

or

x2+2ax−4x+4a+13=0

or

x2+(2a−4)x+(4a+13)=0

Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.

Hence we get that

(2a−4)2=4⋅1⋅(4a+13)

or

4a2−16a+16=16a+52

or

4a2−32a−36=0

or

a2−8a−9=0

or

(a−9)(a+1)=0

So the values of a are −1 and 9.