Question

In month 6. mpany should not be upset by the decreasing sales 8. An employee's monthly productivity M in numbers of units produced is found to be function of the number of years of servicet. For a certain product, the productivity tunno is given by M(t)=-262 +100t +180 A. Find the productivity of an employee after 5 yr. 10 yr, 25 yr, and 45 yr of service. B. Find the marginal productivity. C. Find the marginal productivity at t=5;t -10;t=25, and t = 45 D. Explain how the employee's marginal productivity might be related to experience and to age. Years of Experience Productivity Marginal Productivity 10 25 45

Answer 1

8.

A.

Productivity at t = 5:

$M(5)=-2(5)^{2}+100(5)+180=630$

Productivity at t = 10:

$M(5)=-2(10)^{2}+100(10)+180=980$

Productivity at t = 25:

$M(5)=-2(25)^{2}+100(25)+180=1430$

Productivity at t = 45:

$M(5)=-2(45)^{2}+100(45)+180=630$

B.

Marginal productivity:

$\frac{dM}{dt}=-4t+100$

C.

Marginal Productivity at t = 5:

$-4(5)+100=80$

Marginal Productivity at t = 10:

$-4(10)+100=60$

Marginal Productivity at t = 25:

$-4(25)+100=0$

Marginal Productivity at t = 45:

$-4(45)+100=-80$

D.

Employee's marginal productivity fall over time implying diminishing returns in productivity.

Reason: With more time spent in work, falling marginal utility (saturation) occurs and interest falls and with more age health issues also arise resulting in falling marginal productivity.

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