A sports company has the following production function for a certain product, where p is the number of units produced with x units 4 1 5.5 p(x,y) = 2600x °y units (Round to the nearest whole number.) p= (b) Find the marginal productivities. dp = Px =| dp dy Py = (c) Evaluate the marginal productivities at x 27 and y = 1431. Px(27,1431) = (Round to the nearest whole number as needed.) Py (27,1431) = (Round to the nearest whole number as needed.) (d) Interpret the meanings of the marginal productivities from part (c). O A. Supposing that labor is fixed at 4602 units, then a one-unit change in capital will cause production to increase by about 1431 u cause production to increase by about 27 units. O B. Supposing that labor is fixed at 4602 units, then a one-unit change in labor will cause production to increase by about 1431 uni production to increase by about 27 units.
A sports company has the following production function for a certain product, where p is the number of units produced with x units 4 1 5.5 p(x,y) = 2600x °y units (Round to the nearest whole number.) p= (b) Find the marginal productivities. dp = Px =| dp dy Py = (c) Evaluate the marginal productivities at x 27 and y = 1431. Px(27,1431) = (Round to the nearest whole number as needed.) Py (27,1431) = (Round to the nearest whole number as needed.) (d) Interpret the meanings of the marginal productivities from part (c). O A. Supposing that labor is fixed at 4602 units, then a one-unit change in capital will cause production to increase by about 1431 u cause production to increase by about 27 units. O B. Supposing that labor is fixed at 4602 units, then a one-unit change in labor will cause production to increase by about 1431 uni production to increase by about 27 units.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:umber of units produced with x units of labor and y units of capital. Complete parts (a) through (d) below.
se production to increase by about 1431 units. Supposing that capital is fixed at 22 units, then a one-unit change in labor will
e production to increase by about 1431 units. Supposing that labor is fixed at 22 units, then a one-unit change in capital will cause-
se production to increase by about 4602 units. Supposing that capital is fixed at 27 units, then a one-unit change in labor will
se production to increase by about 4602 units. Supposing that labor is fixed at 27 units, then a one-unit change in capital will
Transcribed Image Text:A sports company has the following production function for a certain product, where p is the number of units produced with x units
4 1
P(x,y) = 2600x5 v5
y
units
(Round to the nearest whole number.)
p=
(b) Find the marginal productivities.
dp
= Px =
dx
dp
ду
(c) Evaluate the marginal productivities at x = 27 and y = 1431.
Px (27,1431) = (Round to the nearest whole number as needed.)
Py(27,1431) = (Round to the nearest whole number as needed.)
(d) Interpret the meanings of the marginal productivities from part (c).
O A. Supposing that labor is fixed at 4602 units, then a one-unit change in capital will cause production to increase by about 1431 u
cause production to increase by about 27 units.
O B. Supposing that labor is fixed at 4602 units, then a one-unit change in labor will cause production to increase by about 1431 uni
production to increase by about 27 units.
O C. Supposing that labor is fixed at 1431 units, then a one-unit change in capital will cause production to increase by about 4602 un
cause production to increase by about 22 units.
Supnosina that canital is fixed at 1431 units then a one-unit change in labor will cause production to increase hy about 4602 un
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