![tydariousgamer](/avatars/25033.jpg)
tydariousgamer
28.11.2019 •
Mathematics
Chapter summary
647
using x skilled and y anskilled workers, a manufacturer can produce q(x, y) = 60x^1/3y^2/3 units per day.
currently the manufacturer employs 10 skilled
workers and 40 unskilled workers and is planning
to hire 1 additional skilled worker. use calculus to
estimate the corresponding change that the
manufacturer should make in the level of unskilled
labor so that the total output will remain the
er summary
same.
Solved
Show answers
More tips
- H Health and Medicine What are Electronic Cigarettes? The Ultimate Guide...
- C Computers and Internet How to Get Rid of 3pic Infector: Everything You Need to Know...
- A Auto and Moto Experience the World of the Most Expensive Cars on the Planet...
- S Style and Beauty How to Get Rid of a Double Chin?...
- F Food and Cooking How to Cook Julienne? Recipes and Tips...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- F Food and Cooking Apple Cider Vinegar: The Ultimate Health and Beauty Solution...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
Answers on questions: Mathematics
- M Mathematics Need some help on this one question!...
- M Mathematics What is the y-intercept of this graph? A graph of a line that begins at the origin and passes through the point 2 comma 8....
- M Mathematics Plz help, first brainliest...
- M Mathematics For the right triangles below, find the values of the side lengths c and d . Round your answers to the nearest tenth....
- M Mathematics What is the equation of the line graphed...
- M Mathematics Which expression has the same value as the one below? 21 + (-23) O A. 21 - 23 OB. 44 C. 21 O D. 21 + 23...
- M Mathematics Can someone do my maths homework papers pls pls. Pls I really someone do it for me. It’s not letting me upload the papers here. It will great if you could give...
- M Mathematics Composite Figures are figures made up of more than one figure. In order to find the area of these figures we need to break them up into figures that we know how...
- M Mathematics Need help on these 2 questions!...
- M Mathematics Free points. The question is. Well gamers, I got banned but your boy is back....
Ответ:
The manufacturer should decrease the level of unskilled labor by 2 for the total output to stay the same.
Step-by-step explanation:
Q(x,y) = 60 x^⅓ y^⅔
Take the partial derivatives with respect to x and y.
∂Q/∂x = 20 x^-⅔ y^⅔
∂Q/∂y = 40 x^⅓ y^-⅓
So the total differential is:
dQ = ∂Q/∂x dx + ∂Q/∂y dy
dQ = 20 x^-⅔ y^⅔ dx + 40 x^⅓ y^-⅓ dy
If dQ = 0:
0 = 20 x^-⅔ y^⅔ dx + 40 x^⅓ y^-⅓ dy
If x = 10, y = 40, and dx = 1:
0 = 20 (10)^-⅔ (40)^⅔ (1) + 40 (10)^⅓ (40)^-⅓ dy
0 = 20 (4)^⅔ + 40 (1/4)^⅓ dy
-20 (4)^⅔ = 40 (1/4)^⅓ dy
-20 (4)^⅔ (1/4)^⅔ = 40 (1/4)^⅓ (1/4)^⅔ dy
-20 = 40 (1/4) dy
-20 = 10 dy
dy = -2
The manufacturer should decrease the level of unskilled labor by 2 for the total output to stay the same.
Ответ:
Slope intercept form is y=mx+b and B is not written like this