AQ$1.$ Productivity $[20$ marks$]$

A toymaker produces toy cats in two separate workshops. The material cost is

$$18$

per unit for a toy

cat. The toymaker has

$40$

labors and each labor in each workshop received

$$25$

per hour. In January

$2022,$ the toymaker produced

$4$

;

$000$

toy cats in

$20$

working days. The unit selling price of toy cats

is

$$68$

$.$ The annual overhead expense incurred in operating the production plant is

$$800$

per working

day. The labor hour per day is

$8$

hours.

$1.$

$[10$ marks$]$

Determine the

multi$-$factor productivity

of the toymaker in January $2022.$

Please use dollar values for both input and output in the calculation of productivity.

$2.$

$[10$ marks$]$

In February $2022,$ the company still produced toy cats on workshop

$1$

$,$ but produced

toy bears on workshop

$2$

$.$ The labor cost remains to be

$$40$

per hour in both workshops.

$20$

labors are assigned to workshop

$1$

and the remaining

$20$

labors are assigned to workshop

$2$

$.$ The

labor productivity

for toy cats remains the same as in January.

The material cost of toy

bears is

$$32$

per unit and selling price is

$$98$

$.$ In February $2022,$ there are $18$ working days and

the toymarker produces the same number of toy cats and toy bears.

What is the growth of

multi$-$factor productivity

of the toymaker?