On August $1,$ Rantoul Stores Inc. is considering leasing a building and purchasing the necessary equipment to operate a retail store. Alternatively, the company could use the funds to invest in $$900,000$ of $3\%$ U$.$S$.$ Treasury bonds that mature in $15$ years. The bonds could be purchased at face value. The following data have been assembled:

$\backslash$table$[[$Revenues$/$costs$,$Amount$],[$Cost of store equipment,$$900,000],[$Life of store equipment,$15$ years$],[$Estimated residual value of equipment,$$45,000],[$Annual store operating costs less depreciation,$200,000],[$Annual expected revenues in years $1-6,250,000],[$Annual expected revenues in years $7-15,300,000]]$

a$.$ Prepare a differential analysis as of August $1$ presenting the proposed operation of the store for the $15$ years $($Alternative $1)$ as compared with investing in U$.$S$.$ Treasury bonds $($Alternative $2).$

b$.$ Based on the results disclosed by the differential analysis, should the proposal be accepted?

c$.$ If the proposal is accepted, what would be the total estimated income from operations of the store for the $15$ years?