A profitable company needs to get a large truck for moving materials for which they can choose between the following options.

Option A$.$ Buy a used truck with $7$ years of depreciable life for $$80,000$ and sell it after this time for $$10,000.$ It is expected that this truck would need an annual $$5,000$ maintenance fee at the end of each year. Each day the truck is used operating expenses are expected to be $$350$ payable at the end of the year.

Option B$.$ Rent this truck only for the days they need it for $$\frac{500}{?}$ day also payable at the end of the year. All maintenance and operating cost paid for by the renting company.

Based on a $42\%$ combined income tax rate, straight$-$line depreciation, and an after tax MARR of $10\%,$ determine $($show all work$)$ the minimum number of days per year that the truck should be used to make option A more attractive.