The total fixed costs for manufacturing a product each month is $8,000. The variable cost per unit consists of direct labor, material and overhead. The labor will be based on the 25th unit and an 85% learning curve is expected to apply to the number of hours per unit. The first unit took 0.5 hours. Labor is charged at $18 per hour and overhead is charged at 150% of the direct labor. Material costs are $7.00 per unit. Marketing expects that the price of the product and the demand will be related such that p=$90-0.12D. Determine the optimal demand per month and the profit at that demand.