Final answer:
The simplified expression for the total cost to purchase and operate 6 snow fans for $d$ days is $7200 + $57d$, with $7200 being the total purchase cost and $57d$ representing the operational cost over $d$ days.
Step-by-step explanation:
To calculate the cost to purchase and operate 6 snow fans, we need to consider both the initial cost of the fans and the daily operational costs. The total purchase cost of the fans would be 6 fans multiplied by $1200, which is the cost per fan. The daily operation cost for all the fans would be 6 fans multiplied by $9.50 per day. If $d$ represents the number of days the fans are operated, the total operation cost would be $9.50 multiplied by 6 fans, and then by $d$ days.
Combining these two costs, the simplified expression that represents the total cost to purchase and operate the 6 snow fans for $d$ days is:
Total Cost = (Cost of One Fan × Number of Fans) + (Daily Operation Cost per Fan × Number of Fans × Number of Days)
Total Cost = ($1200 × 6) + ($9.50 × 6 × $d$)
Total Cost = $7200 + $57$d$
In this expression, $7200 is the total purchase cost for the fans, and $57$d$ is the total operational cost over $d$ days.