A manufacturer produces three products x, y, z which he sells in two markets.Annual sales are indicated below:Market                     ProductsI.                          10,000   2,000   18,000II.                          6,000    20,000   8,000(a) If unit sale prices of x, y and z are  $2.50, $1.50 and $ 1.00, respectively,find the total revenue in each market with the help of matrix algebra.(b) If the unit costs of the above three commodities are $2.00, $ 1.00 and50 cents respectively. Find the gross profit.

Question

A manufacturer produces three products x, y, z which he sells in two markets.
Annual sales are indicated below:
Market                     Products
I.                          10,000   2,000   18,000
II.                          6,000    20,000   8,000
(a) If unit sale prices of x, y and z are  $2.50, $1.50 and $ 1.00, respectively,
find the total revenue in each market with the help of matrix algebra.
(b) If the unit costs of the above three commodities are $2.00, $ 1.00 and
50 cents respectively. Find the gross profit.

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