On July $1$ of the current year, a company pays $$6,948,480$ cash for an ore mine estimated to contain $7,896\mathrm{.}000$ tons of ore. It installs and pays for machinery costing $$1,421,280$ cash on July $2.$ The company removes and sells $407,250$ tons of ore during its first six months of operations ending on December $31.$ Depreciation of the machinery is in proportion to the mine's depletion as the machinery will be abandoned after the ore is mined.Prepare entries to record.a$.$ purchase of the ore mineb. the cost and installation of machineryc. the first six months' depletion assuming the ore mine has a net salvage value of zero after the ore is minedd. the first six months' depreciation on the machinery.