A Company produces hard bags at 120.00 and sells at 30% profit. a. Find the selling price of a bag. b. If the Company wants to produce bags worth 2,700.00, how much asset will remain C. Suppose the production cost increases by 10% but the selling price remains unchanged, find the profit per bag.

The cost price is 120.00 and the profit percentage is 30%. $$ \text{Profit amount} = 30\% \times \120.00 = \frac{30}{100} \times $120.00 = $36.00 $$

$\text{Selling price} = \text{Cost price} + \text{Profit amount} = \$120.00 + \$36.00 = \boxed{\$156.00}$

From part (a), the profit per bag is $36.00.

$\text{Number of bags} = \frac{\text{Total desired profit}}{\text{Profit per bag}} = \frac{\$2,700.00}{\$36.00} = \boxed{75 \text{ bags}}$

The original cost is 120.00 and it increases by 10%. $$ \text{New cost price} = \120.00 + (10% \times $120.00) = $120.00 + $12.00 = $132.00 $$

The selling price remains unchanged at 156.00 (from part a). $$ \text{New profit per bag} = \text{Selling price} - \text{New cost price} = \156.00 - $132.00 = \boxed{$24.00} $$

From part (c.i), the new profit per bag is $24.00.

$\text{Number of bags} = \frac{\text{Total desired profit}}{\text{New profit per bag}} = \frac{\$2,700.00}{\$24.00} = \boxed{112.5 \text{ bags}}$ Since you cannot sell half a bag, the company must sell 113 bags to make at least $2,700.00 profit.