Answer:
A.
Sales Mix is 23 : 74 : 3
B.
$567.17
C.
sprinklers = 95,726 units
valves = 303,826 units
controllers = 12,486 units
Explanation:
the sales mix based on unit sales for each product
sprinklers = 460,000 units
valves = 1,480,000 units
controllers = 60,000 units
this can then be expressed as :
460,000 : 1,480,000 : 60,000
expressed in lowest terms as :
23 : 74 : 3
the weighted-average unit contribution margin for these three products.
weighted-average unit contribution margin is the sum of contribution per units with the mix applied to each contribution margin.
unit contribution margin are
sprinklers = $12.54
valves = $3.25
controllers = $12.75
weighted-average unit contribution margin = $12.54 x 23 + $3.25 x 74 + $12.75 x 3 = $567.17
the break-even point in units for these products
break-even point in units = Fixed Cost ÷ Contribution per unit
= ($760,000 + $1,600,000) ÷ $567.17
= 4,162 units
Multiplying this with each mix we have :
sprinklers = 95,726 units
valves = 303,826 units
controllers = 12,486 units
