Recover the units of measure for the input and output variables of the quantity

Question

Recover the units of measure for the input and output variables of the quantity function for the rate-of-change function. Marginal product (in units per hour) is the rate of change of production when x is the number of hours of labor. units of measure for the input variable units per hour o units hours hours per unit units of measure for the output variable o units per hour o units hours hours per unit Draw an input/output diagram for the rate-of-change function. unts perheur Rate-of-change funcion Rate of-chge function hours per unit hours ger unit Kate-of-change uacion hour units per hour Draw an input/output diaaram for the auantity function unith per heur hours ger unit Qunntity

Explanation / Answer

rate of change= amount of change in one item

- -----------------------------------

correponding amount of change in another.

given by

R(x)= [ g(x)-g(a)]/[x-a]

a)R =rate of change function

b)x - a represents the change in the input of the function g

c)g(x) - g(a) represents the change in the quantity function g as the input changes from a to x

let function R be the marginal product which finds the rate of change of qunatity fuction g(x)

let marginal product be funtion R

x= number of hours of labour

R(x)= y

where y is rate of change of prodution given in units per hour

therefore the quantity function f(x) by using baove definition must have following units

input varible for f(x ) has units

A. hours

units of measure for output variable f(x )  

A. units

digram for rate of change of funtion:

hours-----> f(x)------------>units per hour

for qunatity function

hours-----> f(x)------------>units

x(input varible) be

so units of measure for input variable(x)

Ans-number of hours

units of measure for output varible (y)

Ans- units per hour

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