Math

Im having trouble getting the correct answer to this question. Could someone help out.

Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, where t is time in months and S(t) is the number of computers sold each month.

S'(t)= -15t^2/3

The company plans to stop manufacturing this computer when monthly sales reach 600 computers. If monthly sales now (t=0) are 1140 computers,find S(t). How long will the company continue to manufacture this computer.

1. 0
2. 0
3. 122
1. 1140 - 15t^(2/3) = 600,
-15t^(2/3) = 600 - 1140 = - 540,
Divide both sides by -15:
t^(2/3) = 36,
Take log of both sides:
2/3logt = log36,
Multiply both sides by 3/2:
logt = 3/2log36,
logt = 2.3345,
t = 10^(2.3345) = 216 months.

1. 0
2. 0
posted by Henry

Similar Questions

1. algebra

a salesperson who must decide between two monthly income options: Option A: Salary of \$1642 per month, plus 8% of monthly sales or Option B: Salary of \$1900 per month, plus 6.5% of monthly sales For what amount of monthly sales is

asked by suzie on November 22, 2010
2. statistics and probability

A company has been studying the performance of their sales department. The measure of performance used is: average monthly sales amount in dollars. For the past 12 months, the average monthly sales amount has been \$4,532 with a

asked by faye on February 15, 2017
3. Algebra

A salespersons monthly income depends on the amount of her sales. Her monthly income of salary of \$1300 plus 14% of her monthly sales. Write a linear equation for her monthly income for sales of x dollars (I=mx+b)

asked by Allye on February 2, 2016
4. maths

the monthly base salary of a shoes sales person is birr 900. she has a commission of 2% on all sales oer birr 10,000 during the the month. if the monthly sales are birr 15,000 or more, she receives birr 500 bonus. if x represents

asked by surafel on December 28, 2015
5. Math

Use symbols to represent unknowns and variables. Write inequalities to answer questions arising situations. 1. A sales representative is given a choice of two paycheck plans. One choice includes a monthly base pay of \$300 plus %10

asked by Pam on September 25, 2013
6. statistics

A company has been studying the performance of their sales department. The measure of performance used is: average monthly sales amount in dollars. For the past 12 months, the average monthly sales amount has been \$4,532 with a

asked by Deeptimaan on November 30, 2014
7. Math

A pharmaceutical salesperson receives a monthly salary of \$2500 plus a commission of 7 percent of sales. Write a linear equation for the salesperson monthly wage in terms of monthly sales.

asked by Dave on June 7, 2016
8. algebra

A pharmaceutical salesperson receives a monthly salary of \$3700 plus a commission of 6% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S.

asked by Anonymous on September 16, 2013
9. Alg 2

A person applying for a sales position is offered an alternative salery plan. Plan A- A base salery of \$600 per month plus a commission of 4% of the gross value for the month Plan B- A base salery of \$700 per month plus a

asked by Justyna on December 4, 2006
10. Algebra

this isn't the same question as my last post!! it's the second out of three. Hello! I'm looking over one of my tests and trying to see how to do things I got wrong, but I'm having trouble with three of the questions. Here's one of

asked by Alice on March 17, 2018

More Similar Questions