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

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1