সমাধানসহ বহুনির্বাচনী প্রশ্ন

$\text { A company produces } 2 \text { types of product. It uses } 3 \text { plants for the production. The } 1^{\text {st }} \text { product requires one }$ $\text { hour in plant } 1 \text { and } 3 \text { hours in plant } 3 \text { for producing } \mathrm{item} \text {. The } 2^{\text {nd }} \text { product requires } 2 \text { hours each in plant } 2$ $\text { and } 3 \text { for one production. Total available hours in plants } 1,2 \text { and } 3 \text { in a week are } 4,12 \text { and } 18 \text { respectively. }$ $\text { Profit for each item of product } 1 \text { is } 3 \text { thousand, and for product } 2 \text { is } 5 \text { thousand. The possible maximum }$ $\text { weekly profit for the company is- }$

✓সঠিক উত্তর: গ. $36 \text { thousand }$Higher Math 2nd Paper · যোগাশ্রয়ী প্রোগ্রাম

অপশন

1. ক$18 \text { thousand }$✓ সঠিক উত্তর
2. খ$33 \text { thousand }$✓ সঠিক উত্তর
3. গ$36 \text { thousand }$✓ সঠিক উত্তর
4. ঘ$3$✓ সঠিক উত্তর

ব্যাখ্যা

$z_{\max }=3 x+5$ $y ; x \leq 4 ;$ $2 y \leq 12 ; J \leq 6 ;$ $3 x+2 y \leq 18$ $z_{\text {max }}=$ $36000 \text { at point }(2,6)$