Final answer:
By decreasing the pizza price from $5.50 to $5.00 and doubling the sales volume from 5,000 to 10,000 pizzas, the shop's monthly profit is projected to increase by $22,500.
Step-by-step explanation:
To assess the impact of changing the pizza selling price on profits, we first compute the current monthly profit. Given that 5,000 pizzas are sold at $5.50 each, the total revenue is 5,000 times $5.50, yielding a revenue of $27,500. From this, we subtract the total costs of $8,000 to find the current monthly profit, which is $27,500 - $8,000 = $19,500.
For the proposed price change, where the price per pizza drops to $5.00 and the projected sales volume increases to 10,000 pizzas, the revenue would be 10,000 times $5.00, equating to $50,000. Subtracting the same total costs of $8,000, the new monthly profit would be $50,000 - $8,000 = $42,000.
Comparing the current and projected profits, the increase in profit would be $42,000 (new profit) - $19,500 (current profit) = $22,500. Therefore, reducing the selling price to $5.00 per pizza is projected to increase the pizza shop's monthly profit by $22,500.