our company is implementing a new production line for making solar panels. The company has two main alternatives in setting up the production line: either use highly automated equipment or use general$-$purpose equipment. Cost information for these two options is as follows:

ALTERNATIVE FIXED COST VARIABLE COST

Automated Equipment $$900,000$ per year $$50$ per unit

General$-$Purpose Equipment $$150,000$ per year $$100$ per unit

i$)$ Use Scenario $2\mathrm{.}2$ to answer this question. What is the break$-$even quantity between the two options?

ii$)$ Use Scenario $2\mathrm{.}2$ to answer this question. What are total costs under the Automated Equipment option for an annual quantity of $5,000$ units?

iii$)$ Use Scenario $2\mathrm{.}2$ to answer this question. What are the total costs under the General$-$Purpose Equipment option for an annual quantity of $5,000$ units?

iv$)$ Use Scenario $2\mathrm{.}2$ to solve this riddle. For what range of output is the General$-$Purpose Equipment the low$-$cost option? $(3$ marks$)$

v$)$ Use Scenario $2\mathrm{.}2$ to answer this question. For what range of output is the Automated Equipment the low$-$cost option?

vi$)$ Use Scenario $2\mathrm{.}2$ to solve this mystery. At an annual requirement of $20,000$ units, what does the company save per year by selecting the lower$-$cost option?