Calculus

posted by .

I have two problems that I can't figure out for my test review...

1. Productivity: Because a new employee must learn an assigned task, production will increase with time. Suppose that for the average new employee, the rate of performance is given by dN/dt=1/2?(t+1) where N is the number of unity completed t hours after beginning a new tak. If 2 units are completed afer 3 hours, how many units are completed after 8 hours?

2.Suppose that the marginal cost for a product is MC=60?(x+1) and its fixed cost is $340.00. If the marginal revenue for the product is MR=80x, find the profit or loss from production and sale of a) 3 units and b) 8 units

the question mark in prob. 2 for the Marginal Cost is supposed to be a square root sign...sorry!

I assume the ? in the first is sqrt also.

dN/dt=1/2 sqrt (t+1)
N= INT above= 1/3 (t+1)^3/2 + C


2= 1/3 (4)^3/2 + C or C= 2-8/3 check that.

THen solve for t=8

2)
Marginal cost=dC/dx
Marginal revenue=dR/dx

Profit=INT MR dx - INT MC dx + FC

Profit= INT 80x dx -INT 60sqrt(x+1)dx + FC

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. managerial economics

    After two quarters of increasing levels of production, the CEO of Canadian Fabrication & Design was upset to learn that, during this time of expansion, productivity of the newly hired sheet metal metal workers declined with each new …
  2. managerial economics

    After two quarters of increasing levels of production, the CEO of Canadian Fabrication & Design was upset to learn that, during this time of expansion, productivity of the newly hired sheet metal workers declined with each new worker …
  3. managerial economics

    After two quarters of increasing levels of production, the CEO of Canadian Fabrication & Design was upset to learn that, during this time of expansion, productivity of the newly hired sheet metal workers declined with each new worker …
  4. managerial economics

    After two quarters of increasing levels of production, the CEO of Canadian Fabrication & Design was upset to learn that, during this time of expansion, productivity of the newly hired sheet metal workers declined with each new worker …
  5. marketing

    Post your response to the following: Imagine that you are a mentor to a new employee at a marketing firm. The new employee is having trouble understanding what the term market communication really means. Using what you have learned, …
  6. Marketing

    Imagine that you are a mentor to a new employee at a marketing firm. The new employee is having trouble understanding what the term market communication really means. Using what you have learned, explain to the new employee how marketing …
  7. Economic

    After two quarters of increasing levels of production, the CEO of Canadian Fabrication & Design was upset to learn that, during this time of expansion, productivity of the newly hired sheet metal workers declined with each new worker …
  8. Data analysis

    Question 1 Production Rates A manufacturing company wishes to find out whether the productivity of its workforce has increased now that they have a new machine. The factory examined the records for a random sample of 8 hours over the …
  9. data analysis- math

    Question 1 Production Rates A manufacturing company wishes to find out whether the productivity of its workforce has increased now that they have a new machine. The factory examined the records for a random sample of 8 hours over the …
  10. Data analysis

    Question 1 Production Rates A manufacturing company wishes to find out whether the productivity of its workforce has increased now that they have a new machine. The factory examined the records for a random sample of 8 hours over the …

More Similar Questions