Question

A clothing company plans to shear at least \[700\] sheep today. All novices shear the same number of sheep per day, and all experts shear the same number of sheep per day. Let \[N\] represent the number of novices and \[E\] represent the number of experts needed for the company to meet its goal. \[7N+12E \geq 700\] According to the inequality, how many sheep does each novice or expert shear per day? Each novice shears sheep, and each expert shears sheep.

Answer 1

To find the number of sheep each novice shears per day, divide (700 - 12E) by 7. To find the number of sheep each expert shears per day, divide (700 - 7N) by 12.

Step-by-step explanation:

To find the number of sheep each novice shears per day, we need to solve the inequality 7N + 12E ≥ 700 for N.

Step 1: Subtract 12E from both sides: 7N ≥ 700 - 12E

Step 2: Divide both sides by 7: N ≥ (700 - 12E) / 7

Therefore, each novice shears at least (700 - 12E) / 7 sheep per day.

To find the number of sheep each expert shears per day, we can rewrite the inequality as 12E ≥ 700 - 7N

and solve for E in a similar way. Therefore, each expert shears at least (700 - 7N) / 12 sheep per day.