Question

Hat Tricks Company (HTC) is a Buffalo, New York, manufacturer of hats and gloves. Recently, the company purchased a new machine to aid in producing the hat product lines. Production efficiency on the new machine increases with the workforce experience. It has been shown that as cumulative output on the new machine increases, average labor time per unit decreases up to the production of at least 3,200 units. As HTC’s cumulative output doubles from a base of 100 units produced, the cumulative average labor time per unit declines by a learning rate of 80%.
HTC has developed a new style of men’s hat to be produced on the new machine. One hundred of these hats can be produced in a total of 20 labor hours. All other direct costs to produce each hat are $19 per hat, excluding direct labor cost. Direct labor cost per hour is $60. Fixed costs are $8,000 per month, and HTC has the capacity to produce 3,200 hats per month.

Answer 1

The selling price per hat is mathematically given as

S=$62

What is the selling price per hat?

Direct labor hours required to produce first 100 hats=10hr

Direct labour cost =20hr*60$/hour = $1200

Other Direct cost =100hats*19$/hat = $1900

Total Direct cost. = $3100

Selling price is 200% of Direct production cost

$3100*200% = $6200

The selling price per hat = $6200 / 100hats

The selling price per hat = $62

In conclusion, The selling price per hat = $62

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