Red Rock Enterprises is analyzing its sales mix to find out if it is maximizing its profits. The company produces three similar items: Alpha, Beta, and Gamma. All three of these products are made with the same equipment, and maximum productive capacity measured in machine hours is now being used. Product line statistics are as follows:

	Alpha	Beta	Gamma
Current production and sales (units)	105,000	158,000	95,000
Machine hours per unit	10	5	13
Selling price per unit	$63.00	$48.00	$84.00
Unit variable cost	$33.00	$26.00	$49.00
Unit variable selling cost	$20.00	$16.00	$19.00

Part 1

Determine whether the existing sales mix is the most profitable one possible. If your answer is no, offer your suggestion to improve the sales mix. Round answers to two decimal places.

Part 2

Based on your optimal sales mix from part 1 and a maximum of 2,900,000 machines hours available, indicate the number of units of Alpha, Beta, and Gamma to be produced.