Suppose you are in charge of pricing your companys product. Fortunately, the marketing department has already identified the conditions you will face next period.

If you charge $90 per unit, you will sell 112,426 units, but will run out of inventory.

If you charge $95, you will sell 109,203 units.

If you charge $100, you will sell 104,003 units.

If you charge $105, you will sell 98,802 units.

If you charge $110 per unit, you will sell 93,602 units.

Assume the demand curve has a constant slope. If you had sufficient inventory, how many units would you sell at $90?

Assume your marginal cost is $44 per unit. Given only this and the above information, what price should you charge?

Explain your reasoning.