d) Interpret the meanings of the marginal productivities from part (c). O A. Supposing that labor is fixed at 8789 units, then a one-unit change in capital will cause production to increase by about 1417 units. Supposing that capital is fixed at 192 units, then a one-unit change in labor will cause production to increase by about 31 units. O B. Supposing that labor is fixed at 8789 units, then a one-unit change in labor will cause production to increase by about 1417 units. Supposing that labor is fixed at 192 units, then change in capital will cause production to increase by about 31 units. one-unit O C. Supposing that capital is fixed at 1417 units, then a one-unit change in labor will cause production to increase by about 8789 units. Supposing that labor is fixed at 31 units, then change in capital will cause production to increase by about 192 units. one-unit O D. Supposing that labor is fixed at 1417 units, then a one-unit change in capital will cause production to increase by about 8789 units. Supposing that capital is fixed at 31 units, then a one-unit change in labor will cause production to increase by about 192 units.

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A sports company has the following production function for a certain product, where p is the number of units produced with x units of labor and y units of capital. Complete parts (a) through (d) below.
1 1
2 2
p(x,y) = 2600xy
(a) Find the number of units produced with 31 units of labor and 1417 units of capital.
p= units
(Round to the nearest whole number.)
(b) Find the marginal productivities.
dp
dx Px =
др
ay = Py
(c) Evaluate the marginal productivities at x = 31 and y = 1417.
P(31,1417) =(Round to the nearest whole number as needed.)
Py(31,1417) =
(Round to the nearest whole number as needed.)
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 of labor and y units of capital. Complete parts (a) through (d) below. 1 1 2 2 p(x,y) = 2600xy (a) Find the number of units produced with 31 units of labor and 1417 units of capital. p= units (Round to the nearest whole number.) (b) Find the marginal productivities. dp dx Px = др ay = Py (c) Evaluate the marginal productivities at x = 31 and y = 1417. P(31,1417) =(Round to the nearest whole number as needed.) Py(31,1417) = (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 8789 units, then a one-unit change in capital will cause production to increase by about 1417 units. Supposing that capital is fixed at 192 units, then a
one-unit change in labor will cause production to increase by about 31 units.
O B. Supposing that labor is fixed at 8789 units, then a one-unit change in labor will cause production to increase by about 1417 units. Supposing that labor is fixed at 192 units, then a one-unit
change in capital will cause production to increase by about 31 units.
OC. Supposing that capital is fixed at 1417 units, then a one-unit change in labor will cause production to increase by about 8789 units. Supposing that labor is fixed at 31 units, then a one-unit
change in capital will cause production to increase by about 192 units.
O D. Supposing that labor is fixed at 1417 units, then a one-unit change in capital will cause production to increase by about 8789 units. Supposing that capital is fixed at 31 units, then a one-unit
change in labor will cause production to increase by about 192 units.
Transcribed Image Text:(d) Interpret the meanings of the marginal productivities from part (c). O A. Supposing that labor is fixed at 8789 units, then a one-unit change in capital will cause production to increase by about 1417 units. Supposing that capital is fixed at 192 units, then a one-unit change in labor will cause production to increase by about 31 units. O B. Supposing that labor is fixed at 8789 units, then a one-unit change in labor will cause production to increase by about 1417 units. Supposing that labor is fixed at 192 units, then a one-unit change in capital will cause production to increase by about 31 units. OC. Supposing that capital is fixed at 1417 units, then a one-unit change in labor will cause production to increase by about 8789 units. Supposing that labor is fixed at 31 units, then a one-unit change in capital will cause production to increase by about 192 units. O D. Supposing that labor is fixed at 1417 units, then a one-unit change in capital will cause production to increase by about 8789 units. Supposing that capital is fixed at 31 units, then a one-unit change in labor will cause production to increase by about 192 units.
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