Answer to Question #194226 in Microeconomics for Sherika byron

Question

The productive capability of an economy is such that to produce 5 units of military good it takes 2 workers to be employed while 10 units of consumer goods require 3 workers. Resources are limited in such a way that only 75 units of military good can be produced when all resources are employ

Answer 1

Number of military goods produced per worker could produce

$=\frac{Number\space of\space military\space goods\space produced}{Number\space of\space workers\space taken \space to \space produce\space it }$

$=\frac{5\space units\space of \space military\space \space goods}{2\space workers}$

=2.5 units of military goods per worker

Number of workers used for production

$=\frac{Number\space of\space military \space goods\space produced}{Number\space of\space military\space goods \space produced\space per\space worker}$

$=\frac{75\space units\space of \space goods}{2.5\space military\space goods\space per\space worker}$

= 30 workers

Number of consumer goods produced per worker could produce

$=\frac{Number\space of\space consumer\space goods\space produced}{Number\space of\space workers\space taken\space to \space produce \space it}$

$=\frac{10\space units\space of\space consumer\space goods}{3\space workers}$

= 3.33 units of consumer goods per worker.

Number of consumer goods produced

$=Number\space of\space workers\space used\space for \space production \times Number\space of\space consumer\space goods\space produced\space per\space worker$

$=30\space workers\times 3.33\space consumer\space goods\space per\space worker$

$=99.99\space units\space of\space consumer\space goods\space produced.$

$\approx100\space units\space of\space consumer\space goods\space produced$

a.There are 30 workers in the economy.

b. There are 100 units of consumer goods produced in the economy.