Calculus Review for Quiz 12. Optimization Problems

Which of the following should be maximized?

Select all that apply.

• Performance

• Staff Turnover

• Wait Time

• Revenue

• Staff Utilization

Which of the following should be minimized?

Select all that apply.

• Profit

• Cost

• Processing Time

• Staff Utilization

• Staff Turnover

Find two real numbers whose sum is 100 and whose product is a minimum.

• 50 and 50

• 75 and 25

• 60 and 40

• 50 and -50

• Cannot be determined

Find two real numbers whose difference is 50 and whose product is a minimum.

• 25 and 25

• 40 and -10

• 50 and -50

• 25 and -25

• Cannot be determined

There are two positive numbers, such that the sum of the twice the first number plus eight times the second number is 80.

What is the maximum product of the two numbers?

• 80

• 40

• 100

• 240

There are two positive numbers such that their product is 6.

What is the minimum value of the sum of "two times the first number" and "three times the second number"?

Type in your answer below.

(a)  

There are two negative numbers such that their product is 6.

What is the possible maximum value of the sum of "two times the first number" and "three times the second number"?

Type in your answer below, no space.

If you think it cannot be determined, then type NA (no space)

(a)  

There are two negative numbers such that their product is 6.

What is the possible minimum value of the sum of "two times the first number" and "three times the second number"?

If you think it cannot be determined, then type NA (no space)

(a)  

There are two positive numbers whose product is 63.

What is the minimum value for the sum of one of the numbers and seven times the other number you can ever get?

(Type in your answer below)

(a)  

If x= 3y + 6, what is the MINIMUM VALUE of the product xy?

type in the answer below, no space.

(a)  

Tags

CCSS.8.EE.C.7B