Question 30 Rose owns a copy shop that earns P28 per copy of course material they produce. The monthly fixed expenses is P8, 071 . The shop produced 1,403 copies of course materials in a month. Select ALL true statements below. \( \square \) The profit is \( \mathrm{P} 31,213 \) for producing 1,403 copies of course materials. \( \square \) The profit is less than the monthly fixed expenses by 8,071 \( \square \) The profit is greater than the fixed expenses by \( \mathbf{P 2 3 , 1 4 2} \). \( \square \) The profit is twice the value of the monthly fixed expenses.

To determine the profit and evaluate the statements, we first need to calculate the total revenue and total profit for Rose's copy shop. 1. **Calculate Total Revenue:** \[ \text{Total Revenue} = \text{Price per copy} \times \text{Number of copies} \] \[ \text{Total Revenue} = P28 \times 1,403 = P39,284 \] 2. **Calculate Total Expenses:** The total expenses consist of the fixed expenses, which is given as P8,071. 3. **Calculate Profit:** \[ \text{Profit} = \text{Total Revenue} - \text{Total Expenses} \] \[ \text{Profit} = P39,284 - P8,071 = P31,213 \] Now, let's evaluate each statement: 1. **The profit is P31,213 for producing 1,403 copies of course materials.** - This statement is **true**. 2. **The profit is less than the monthly fixed expenses by P8,071.** - The profit (P31,213) is greater than the fixed expenses (P8,071), so this statement is **false**. 3. **The profit is greater than the fixed expenses by P23,142.** - To check this, we calculate: \[ \text{Profit} - \text{Fixed Expenses} = P31,213 - P8,071 = P23,142 \] - This statement is **true**. 4. **The profit is twice the value of the monthly fixed expenses.** - To check this, we calculate: \[ 2 \times \text{Fixed Expenses} = 2 \times P8,071 = P16,142 \] - Since P31,213 is not equal to P16,142, this statement is **false**. ### Summary of True Statements: - \( \square \) The profit is \( \mathrm{P} 31,213 \) for producing 1,403 copies of course materials. (True) - \( \square \) The profit is less than the monthly fixed expenses by P8,071. (False) - \( \square \) The profit is greater than the fixed expenses by \( \mathbf{P 23,142} \). (True) - \( \square \) The profit is twice the value of the monthly fixed expenses. (False) Thus, the true statements are the first and third.