Question

From the data given ahead, answer the following
What is the Simple Average Price of the Four Weeks receipts of
Matenal "A"? (1) What is the Weighted Average Price of the four weeks
receipts of Material "B"? () What is the value of the balance of Mate-
rial "A" in stock at the close of the fourth week of issues are priced on a
"LIFO' basis? (iv) What is the value of Fourth Week's issue of Material
"B" if they priced on "FIFO' basis?
Raw Material Received
Issued
Week
Matenal 'A'
Vatenal 'B
Material 'A' Material 'B'
Rs.
(Kg)
(Kg)
I
250
1960
1500
300
1250
1400
1960
250
1200
200
880
750
1050
300
1300
IV
250
960
1600
2400
300
1100
Store Opening Stock 'A' 200 kg. Rs. 750, 'B' 2000 kg. Rs. 2900.​

Answer 1

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.