Answer:
Results are below.
Explanation:
Giving the following information:
Plan A:
Selling price= $8.4
Sales in units= (6,800,000/8)*0.9= 765,000
Ending inventory should be equal to 5% of the 2017 sales.
Plan B:
Selling price= $7.5
Sales in units= 850,000 + 100,000= 950,000
Ending inventory should be equal to 60,000 units.
Beginning inventory= 40,000 units
Total unitary variable cost= 1.8 + 1.4 + 1.2= $4.4
Total fixed overhead= $1,000,000
a)
Plan A:
Sales in units= (6,800,000/8)*0.9= 765,000
Sales in dollars= 765,000*8.4= $6,426,000
Plan B:
Sales in units= 850,000 + 100,000= 950,000
Sales in dollars= 950,000*7.5= $7,125,000
b) Production= sales + desired ending inventory - beginning inventory
Plan A:
Production= 765,000 + (765,000*0.05) - 40,000
Production= 763,250
Plan B:
Production= 950,000 + 60,000 - 40,000
Production= 970,000
c)
Plan A:
Unitary variable cost= 4.4
Unitary fixed cost= 1,000,000/763,250= 1.31
Total unitary cost= $5.71
Plan B:
Unitary variable cost= 4.4
Unitary fixed cost= 1,000,000/970,000= 1.031
Total unitary cost= $5.43
d) Gross profit= sales - cost of goods sold
Plan A:
Gross profit= 6,426,000 - 765,000*5.71= $2,057,850
Plan B:
Gross profit= 7,125,000 - 950,000*5.43= $1,966,500
e) The best plan is the one with the highest profit. In this case, Plan A is better.