Problem $12-26($Algo$)$ CVP analysis$$what$-$if questions; sales mix issue LO $12-7,12-8,12-9,12-10,12-11$

Ozark Metal Company makes a single product that sells for $$43\mathrm{.}5$ per unit. Variable costs are $$25\mathrm{.}5$ per unit, and fixed costs total $$65,285$ per month.

Required:

Calculate the number of units that must be sold each month for the firm to break even.

Assume current sales are $$413,000.$ Calculate the margin of safety and the margin of safety ratio.

Calculate operating income if $7,000$ units are sold in a month.

Calculate operating income if the selling price is raised to $$46\mathrm{.}5$ per unit, advertising expenditures are increased by $$8,000$ per month, and monthly unit sales volume becomes $7,500$ units.

Assume that the firm adds another product to its product line and that the new product sells for $$21$ per unit, has variable costs of $$15$ per unit, and causes fixed expenses in total to increase to $$89,000$ per month. Calculate the firm's operating income if $7,000$ units of the original product and $4,700$ units of the new product are sold each month. For the original product, use the selling price and variable cost data given in the problem statement.

Calculate the firm's operating income if $4,800$ units of the original product and $6,900$ units of the new product are sold each month.

Why operating income is different in parts e and f$,$ even though sales totaled $11,700$ units in each case.