Sales mix with scarce resources

San Fran Cycles manually manufactures three unique bicycle models: racing, touring, and basic. All of the skilled craftspeople employed at San Fran can make each of the three models. Because it takes about a year to train each craftsperson, labor is a fixed production constraint over the short term. For 2013, the company expects to have available 37,900 labor hours. The average hourly labor rate is $28. Data regarding the current product line follow.

			Racing		Touring		Basic
Selling price			$	3,505	$	2,817	$	888
Variable costs
Direct material			$	860	$	620	$	220
Direct labor				1,400		1,064		280
Variable factory overhead				740		465		150
Variable selling				80		60		20
Fixed costs
Factory	$	356,000
Selling and administrative		100,000

The company pays taxes at the rate of 50 percent of operating income.

b. How many (rounded to the nearest whole unit) of each product must the company make if it has the policy to devote no more than 50 percent of its available skilled labor capacity to any one product but at least 20 percent to every product?

Production levels:
Basic
Touring
Racing

What pre-tax income will the company earn given your answer? $