Final answer:
The expected number of customers paying with cash next week is approximately 462.
Step-by-step explanation:
To determine the number of customers who are expected to pay with cash next week, we need to find the ratio of cash-paying customers to the total number of customers in the previous week, and then apply that ratio to the expected number of customers next week.
First, calculate the ratio of cash-paying customers to the total number of customers:
Cash-paying customers ratio = (Number of cash-paying customers) / (Total number of customers)
Cash-paying customers ratio = 44 / (44 + 11 + 84) = 0.330.
Next, apply the ratio to the expected number of customers next week:
Expected number of cash-paying customers = (Cash-paying customers ratio) * (Expected number of customers next week)
Expected number of cash-paying customers = 0.330 * 1400 = 462 (rounded to the nearest whole number).