Assume Y, Z, W and P are the matrices of order 3 x k x 2 x p, n x 3 and p x k, respectively.
The restrictions on n, k and p so that PY + WY will be defined are :
(A) k = 3, p = n (B) A:is arbitrary,p = 2
(C) p is arbitrary, k = 3 (D)k = 2, p = 3
Y, Z, W, P are of type 3 x k, 2 x p, n x 3, p x k respectively.
Since PY is defined
∴number of columns of P = number of rows of Y
∴ k = 3
Now PY is of type p x k and WY is of type n x k
Since PY + WY is defined
∴ p = n
∴ (A) is correct answer.
(i) Find the combined sales in September and October for each farmer in each variety.
(ii) Find the decrease in sales from September to October.
(iii) If both farmers receive 2% profit on gross sales, compute the profit for each farmer and for cach variety sold in October.