Feasibility$-$unsure is a new company that manufactures three products. The products are X$,$ Y$,$ and Z$.$ The management of the firm has three $(3)$ selling options before it as indicated in the table below:

Option $$X$$ sales percentage $$Y$$ sales percentage $$Z$$ sales percentage

$1451540$

$2353530$

$3255520$

Feasibility$-$unsure will have monthly fixed costs of $$30,000.$ In addition, the price and variable cost of each product is given below:

Product Price Variable costs

X $35\mathrm{.}4012\mathrm{.}75$

Y $30\mathrm{.}8213\mathrm{.}75$

Z $25\mathrm{.}9510\mathrm{.}93$

Feasibility$-$unsure will have sales of $5,200$ units a month based on expected orders.

Monthly target profits:$-$ $$45,000$

$1.$Calculate the breakeven point in units for each option and advise the management on the best option to choose.

$2.$Calculate the prices for the products the firm must charge for management to realise the profits it is planning for.