You are a manager at The Flying Minotaura small firm that manufactures Type X and Type Y batteries . The marketing department has provided you with the following information about the per-unit demand for Type X batteries:

Price	Quantity
$22	0
$20	1
$19	2
$18	3
$17	4
$16	5
$15	6
$14	7

If you dedicated all resources to the production of one good, you can produce up to 10 Type X batteries or 20 Type Y batteries. Type X batteries cost $7.50 to produce. Type Y batteries can be sold for $10 and cost $7 to produce. You must produce at least 6 type Y batteries due to current contract agreements. How many Type X batteries should you produce to profit maximize?

Hint: Costs to produce are variable costs