Question

   A manufacturer has determined that the growth rate of sales S (in units) of a...

   A manufacturer has determined that the growth rate of sales S (in units) of a newly developed product should be approximated by S(_^')(x) =2,000/∛t , where t is the number of years from now. Assuming there are no sales at the introduction of the product to the market,
   How many units of the product will have been sold 5 years from now?


   At what rate will the number of sales be changing after 5 years?


   Using the result from part b., estimate how many units of the product will have been sold 6 years from now.

   Calculating as you did in part a. and without using the results from part b, how many units of the product will have been sold 6 years from now? Was part c a close estimate to this number?

Math   Precalculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Units Manufactured       100                                 &nbs
Units Manufactured       100                                                         Direct Materials (in $'s):                                                                Total Cost for Your Direct Material Number 1                    $24,441                                               Total Cost for Your Direct Material Number 2                    $14,665                                               Total Cost for Your Direct Material Number 3                    $9,776                                 Total Direct Materials (in $'s)                                      $48,882                               Direct Labor (in $'s)                                         $29,441                               Variable Factory Overhead (in $'s)                                                                             Total Cost for Your F/O Number 1                           $48,882                                               Total Cost for Your F/O Number 2                           $34,441                                               Total Factory Overhead (in $'s)                                  ...
The sales decay for a product is given by S = 80,000e−0.5x, where S is the...
The sales decay for a product is given by S = 80,000e−0.5x, where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign. (a) What will be the sales 6 months after the end of the campaign? (Round your answer to two decimal places.) $   (b) How many months after the end of the campaign will sales drop below $1,000, if no new campaign is initiated? (Round up...
The sales decay for a product is given by S = 80,000e−0.5x, where S is the...
The sales decay for a product is given by S = 80,000e−0.5x, where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign. (a) What will be the sales 6 months after the end of the campaign? (Round your answer to two decimal places.) $   (b) How many months after the end of the campaign will sales drop below $1,000, if no new campaign is initiated? (Round up...
Silver River Company sells Products S and T and has made the following estimates for the...
Silver River Company sells Products S and T and has made the following estimates for the coming year: Product Unit Selling Price Unit Variable Cost Sales Mix S $30 $24 60% T   70   56 40   Fixed costs are estimated at $202,400. Determine (a) the estimated sales in units of the overall product necessary to reach the break-even point for the coming year (5 pts), (b) the estimated number of units of each product necessary to be sold to reach the...
The Bridget Company has budgeted sales for 100,000 units of its product for next year. Assume...
The Bridget Company has budgeted sales for 100,000 units of its product for next year. Assume Bridget begins the year with 40,000 units of finished product, but budgets ending inventory to be only 10,000 finished units. a. Compute the total budgeted units of production required for next year. b. If each unit takes three pounds of raw materials to make, and we now have 5,000 pounds of raw material on hand but want to end with 8,000 pounds, how many...
The Bridget Company has budgeted sales for 100,000 units of its product for next year. Assume...
The Bridget Company has budgeted sales for 100,000 units of its product for next year. Assume Bridget begins the year with 40,000 units of finished product, but budgets ending inventory to be only 10,000 finished units. a. Compute the total budgeted units of production required for next year. b. If each unit takes three pounds of raw materials to make, and we now have 5,000 pounds of raw material on hand but want to end with 8,000 pounds, how many...
6. Barbour Electric is considering the introduction of a new product. This product can be produced...
6. Barbour Electric is considering the introduction of a new product. This product can be produced in one of several ways: (a) using the present assembly line at a cost of $25 per unit, (b) using the current assembly line after it has been overhauled (at a cost of $5,000) with a cost of $22 per unit; and (c) on an entirely new assembly line (costing $20,000) designed especially for the new product with a per unit cost of $20....
A company's revenue from selling x units of an item is given as R=1600x−3x^2. If sales...
A company's revenue from selling x units of an item is given as R=1600x−3x^2. If sales are increasing at a rate of 50 units per day, how rapidly is the revenue increasing per day when 210 units have been sold? (Solve this problem using related rates.)
A microcomputer manufacturer has developed a regression model relating his sales (Y in $10,000s) with three...
A microcomputer manufacturer has developed a regression model relating his sales (Y in $10,000s) with three independent variables. The three independent variables are price per unit (Price in $100s), advertising (ADV in $1,000s) and the number of product lines (Lines). Part of the regression results is shown below. Coefficient Standard Error Intercept 1.0211 22.8752 Price (X1) -.1523 -.1411 ADV (X2) .8849 .2886 Lines(X3) -.1463 1.5340 Source D.F. S.S. Regression 3 2708.651 Error 14 2840.51 Total 17 5549.12 (a) What has...
2. The growth of cable television between 1978 and 1994 can be modeled by the following...
2. The growth of cable television between 1978 and 1994 can be modeled by the following logistic function: S(t) = 65/ 1+23e^(-0.214t) where S(t) is the number of cable TV subscribers (in millions) t years after 1970. a. Determine the number of cable TV subscribers in 1984 according to this model. b. Determine S′(t) using the function above and the derivative rules you know. c. Use this function to determine the rate at which the number of cable TV subscribers...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT