9-7a Applications

1.)    Maximum profit can be found on the graph where the difference between the revenue and expense functions is the greatest. Examine the following graph and estimate the maximum profit price and the maximum profit at that price.

Approximate price:          ___________

• $20

• $40

• $50

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

1.)    Maximum profit can be found on the graph where the difference between the revenue and expense functions is the greatest. Examine the following graph and estimate the maximum profit price and the maximum profit at that price.

Approximate profit:          ___________

• $35,000

• -$30,000

• $160,000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

2.)       Listen Up sells external computer speakers. Their new product has the following expense and revenue functions: E = –828p + 400,000 and R = –38p² + 8,000p.

a) Determine the profit function.

• -38p²+8,828p-400,000

• -38p²-8,828p+400,000

• -38p²-7,172p-400,000

• -38p²-7,172p+400,000

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

2.)       Listen Up sells external computer speakers. Their new product has the following expense and revenue functions: E = –828p + 400,000 and R = –38p² + 8,000p.

The profit function is -38p²+8,828p-400,000.

b. Determine the price, to the nearest cent, which yields the maximum profit.

Tags

CCSS.HSA.REI.B.4

2.)       Listen Up sells external computer speakers. Their new product has the following expense and revenue functions: E = –828p + 400,000 and R = –38p² + 8,000p.

The profit function is -38p²+8,828p-400,000.

c. Determine the maximum profit to the nearest cent.

Tags

CCSS.HSA.REI.B.4

2.)       Listen Up sells external computer speakers. Their new product has the following expense and revenue functions: E = –828p + 400,000 and R = –38p² + 8,000p.

The profit function is -38p²+8,828p-400,000.

d. Determine the two breakeven prices.

SELECT ALL THAT APPLY

• $61.69

• $0.00

• $170.62

• $116.16

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

3.) FunFleece Incorporated manufactures fleece hats. It is considering making a new type of weatherproof fleece hat. The expense and revenue functions are E = –300p + 150,000 and
R = –300p² + 29,000p.

a. Determine the profit function.

• -300p²+29,300p-150,000

• -300p²-29,300p+150,000

• -300p²-28,700p+150,000

• -300p²+28,700p-150,000

Tags

CCSS.HSA.CED.A.1

3.) FunFleece Incorporated manufactures fleece hats. It is considering making a new type of weatherproof fleece hat. The expense and revenue functions are E = –300p + 150,000 and
R = –300p² + 29,000p.

b. Determine the price, to the nearest cent, which yields the maximum profit.

• $48.83

• $565,408.33

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

3.) FunFleece Incorporated manufactures fleece hats. It is considering making a new type of weatherproof fleece hat. The expense and revenue functions are E = –300p + 150,000 and
R = –300p² + 29,000p.

c. Determine the maximum profit to the nearest cent.

• $48.83

• $565,408.33

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

3.) FunFleece Incorporated manufactures fleece hats. It is considering making a new type of weatherproof fleece hat. The expense and revenue functions are E = –300p + 150,000 and
R = –300p² + 29,000p.

d. Determine the two breakeven prices.

SELECT ALL THAT APPLY

• $48.83

• $565,408.33

• $5.42

• $92.25

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4