Please reply fast..Three shopkeepers A, B and C go to a store to buy stationary. A purchases 12 dozen notebooks, 5 dozen pens and 6 dozen pencils. B purchases 10 dozen notebooks, 6 dozen pens and 7 dozen pencils. C purchases 11 dozen notebooks, 13 dozen pens and 8 dozen pencils. A notebook cost 40 paise, a pen costs rs 1.25 and a pencil costs 35 paise. Use matrix multiplication to calculate each individual's bills.
Here, let
Now,
Cost on 1 notebook = 40 paise
Cost if 1 dozen (12) notebooks = Rs(0.40*12)
= Rs 4.8
Cost on 1 pen = Rs 1.25
Cost if 1 dozen (12) pen = Rs (1.25*12)
= Rs 15
Cost on 1 pencil = 35 paise
Cost if 1 dozen (12) pencil = Rs ( 0.35*12 )
= Rs 4.2
Next, let the cost matrix be Q. So
Now, multiply matrix P and Q to calculate the bill of each shopkeeper. So,
Therefore,
Bill of shopkeeper A = Rs 157.80
Bill of shopkeeper B = Rs 167.40
Bill of shopkeeper C = Rs 281.40
Now,
Cost on 1 notebook = 40 paise
Cost if 1 dozen (12) notebooks = Rs(0.40*12)
= Rs 4.8
Cost on 1 pen = Rs 1.25
Cost if 1 dozen (12) pen = Rs (1.25*12)
= Rs 15
Cost on 1 pencil = 35 paise
Cost if 1 dozen (12) pencil = Rs ( 0.35*12 )
= Rs 4.2
Next, let the cost matrix be Q. So
Now, multiply matrix P and Q to calculate the bill of each shopkeeper. So,
Therefore,
Bill of shopkeeper A = Rs 157.80
Bill of shopkeeper B = Rs 167.40
Bill of shopkeeper C = Rs 281.40