How many units of product themis must be sold


Problem:

MuNu Ltd. manufactures three different products - Oceanus, Tethys and Themis - with the sales mix having remained relatively constant over the past few years.

Financial results for the past year are:

Product # of Units Sold Selling Price per Unit Variable Cost per Unit

Oceanus   95,000     $15       $8
Tethys    133,000   $22.50   $9.50
Themis   152,000     $28     $12.50

Fixed costs are $1,565,000 per period; and the corporate tax rate is 40%. Given the sales mix, how many units of Product Themis must be sold in order to achieve an operating income of $450,000?

a. 58,720

b. 64,480

c. 74,080

d. 161,200

e. 260,845

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