1. **Problem statement:** b) Determine which company Mrs. Hanim is likely to hire if she wants the work done within 2 weeks, assuming 7 working days per week and 8 working hours per day. c) Find the number of hours at which both companies charge the same amount and what that charge is. 2. **Given:** - 2 weeks = $2 \times 7 = 14$ days - Working hours per day = 8 - Total working hours in 2 weeks = $14 \times 8 = 112$ hours 3. **Assumptions:** - Let Company A and Company B have cost functions $C_A(h)$ and $C_B(h)$ respectively, where $h$ is hours worked. 4. **Step b:** - To complete work within 112 hours, compare costs $C_A(112)$ and $C_B(112)$. - The company with the lower cost at 112 hours is economically likely to be hired. 5. **Step c:** - Find $h$ such that $C_A(h) = C_B(h)$. - Solve the equation for $h$. - Substitute $h$ back into either cost function to find the charge. 6. **Note:** Since the exact cost functions are not provided, the general approach is: - For b): Calculate costs at $h=112$ hours and compare. - For c): Solve $C_A(h) = C_B(h)$ for $h$ and find the charge. If you provide the cost functions or rates, I can compute exact values.