Question

Let P, = the production of product i in period j. To specify that production of product 1 in period

3 and in period 4 differs by no more than 100 units,

a. P-P100; P-P100

b. P-P 100; P-P4 100

c. P-Pi 100; P4-P 100

d. P-P 100; P4-P 100
Give the correct answer option

Answer 1

The correct specification to ensure that production of product 1 in period 3 and period 4 differs by no more than 100 units is d. P13 - P14 ≤ 100; P14 - P13 ≤ 100.

Step-by-step explanation:

To specify that the production of product 1 in period 3 (P13) and in period 4 (P14) differs by no more than 100 units, we can write two inequalities. The correct answer would both reflect that the production in one period should not be more than 100 units greater than in the other period and vice versa. Therefore, the answer is:

d. P13 - P14 ≤ 100; P14 - P13 ≤ 100

This set of inequalities ensures that the difference in production between periods 3 and 4 is no more than 100 units in either direction, thus capturing the requirement that they differ by no more than 100 units.