2 answers

Operations mgt

Question:

5. Alyssa’s Custom Cakes currently sells 5 birthday, 2 wed-
ding, and 3 specialty cakes each month for $50, $150, and
$100 each, respectively. The cost of labor is $50 per hour
including benefits. It takes 90 minutes to produce a birth-
day cake, 240 minutes to produce a wedding cake, and
60 minutes to produce a specialty cake. Alyssa’s current
multifactor productivity ratio is 1.25.
a. Use the multifactor productivity ratio provided to
calculate the average cost of the cakes produced.

Answers

5 Birthday cakes x $50 per cake = $250

2 Wedding cakes x $150 per cake= $300

3 Specialty cakes x $100 per cake = $300

Total monthly revenue = $850

Multifactor productivity ratio = output/input1.25 = $850/x

Solve for x = $850/1.25 = $680

Total costs = $680

Average cost per cake = $680/10 = $68/cake

.

Labor productivity ratio for birthday cakes=Price of Birthday cakes/input hour=50/(90/60)=$33.33 per hour
Labor productivity ratio for wedding cakes=Price of wedding cakes/input hour=150/(240/60)=$37.50 per hour.

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