If we have a stochastic model in which the value of a varies between 3 and 6 (i. e., a = 3, a = 4, a = 5, or a = 6) as the possible values for the number of hours required per unit, what is the optimal value for x? If required, round your answer to two decimal places.

x ≤ 16.67

Step-by-step explanation:

CORRECTED QUESTION

Suppose the following is the mathematical model:

Max 11x such that

ax ≤ 50 and x ≥ 0

where a is the number of hours required for each unit produced. If we have a stochastic model in which the value of a varies between 3 and 6 (i.e., a = 3, a = 4, a = 5, or a = 6) as the possible values for the number of hours required per unit, what is the optimal value for x? If required, round your answer to two decimal places.

ANSWER

The Optimal value of x is obtained when the number of hours per unit production is at a minimum ( in this case a=3)

Therefore the optimal value of x satisfying the constraint ax ≤ 50 at a=3 is given as

x≤50/3=16.67

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."