LP Basic

Consider the following model:

max

$5$

x

$1$

$+$

$12$

x

$2$

s$.$t$.$

$20$

x

$1$

$+$

$10$

x

$2$

$$

$200$

$10$

x

$1$

$+$

$20$

x

$2$

$$

$120$

x

$1$

$,$

x

$2$

$$

$0$

$1)$ How many units of resource $2$ are consumed by each unit of product $2$ produced? $(2$ points$)$

$2)$ What is the profit from producing one unit of product $1?(2$ points$)$

$3)$ How many units of resource $1$ is available? $(2$ points$)$

$4)$ How many units of resource one are unutilized if the company produces $4$ units of product $1$ and $10$ units of product $2?(2$ points$)$

$5)$ How much profit is earned if the company produces $3$ units of product $1$ and $5$ units of product $2?(3$ points$)$