The value of Jennifer’s stock portfolio is given by the function v(t) = −300t^2 + 7500t + 5000
where v is the value of the portfolio (in dollars) and t is the time in months. This is how long it will take (in months) her portfolio to reach a maximum.
What is 12.5 months?
100
This is a revenue function (in standard form) based on the following linear equations....
Cost: C(x) = 60 - 6x
Attendance: A(x) = 550 + 4x
What is -24x^2 - 3,060x + 33,000 ?
100
A company’s weekly revenue in dollars is given
R(x) = 2000x − 2x^2
where x is the number of items produced during a week. What amount of items will produce the maximum revenue?
What is 500 items?
200
Find the maximum value of the function
f(x) = -0.75x^2 + 60
What is 60?
200
This is a revenue function (in standard form) based on the following linear equations....
Cost: C(x) = 25 + 10x
Attendance: A(x) = 367 - 15x
What is -150x^2 + 3,295x + 9,175 ?
200
A company’s monthly revenue in dollars is given
R(x) = -0.05x^2 + 610x + 444
where x is the number of items produced during a month. This is the company's maximum monthly revenue.
What is $1,860,944 ?
300
Find the maximum value of the function
g(x) = -2x^2 - 12x + 7
What is 25?
300
This is the standard form of the following revenue function
R(x) = x(83 - 3x)
What is R(x) = -3x^2 - 83x
300
This is the maximum revenue for the following function:
R(x) = -0.70x^2 + 140x + 379
What is $7,379 ?
400
Find the minimum value of the function
f(x) = 3x^2 - 6x + 3
What is 0?
400
This is a revenue function, based on the given information...
- 520 people will attend a concert at $15 tickets
- For every $2 ticket prices drop, 10 more people will attend
What is R(x) = -20x^2 - 890x + 7,800 ?
400
This is the maximum revenue for the following function:
R(x) = -0.40x^2 + 640x
What is $256,000 ?
500
A textile manufacturer has daily production costs of
C(x) = 10,000 - 110x + 0.045x^2
where C is the total cost (in dollars) and x is the number of units produced. How many units should be produced each day to yield a minimum cost? (Round to the nearest whole number)
What is 1,222 units?
500
This is a revenue function, based on the given information...
- 155 people will attend a game at $30 tickets
- For every $5 ticket prices go up, 12 less people will attend
What is R(x) = -60x^2 + 415x + 4,650 ?
500
Cost: (50 + 10x)
Attendance: (180 - 20x)
This is the maximum revenue