Several items are omitted from the income statement and cost of goods manufactured statement data for two different companies for the month of May:$1$ Rainier CompanyYakima Company$2$Materials inventory, May $1$$$280,000\mathrm{.}00$$$177,000\mathrm{.}003$Materials inventory, May $31($a$)175,000\mathrm{.}004$Materials purchased$712,600\mathrm{.}00340,000\mathrm{.}005$Cost of direct materials used in production$752,800\mathrm{.}00($a$)6$Direct labor$1,059,800\mathrm{.}00($b$)7$Factory overhead$326,600\mathrm{.}00179,400\mathrm{.}008$Total manufacturing costs incurred in May$($b$)1,038,000\mathrm{.}009$Total manufacturing costs$2,679,200\mathrm{.}001,480,500\mathrm{.}0010$Work in process inventory, May $1540,000\mathrm{.}00442,500\mathrm{.}0011$Work in process inventory, May $31451,400\mathrm{.}00($c$)12$Cost of goods manufactured$($c$)1,026,500\mathrm{.}0013$Finished goods inventory, May $1475,200\mathrm{.}00200,000\mathrm{.}0014$Finished goods inventory, May $31495,600\mathrm{.}00($d$)15$Sales$4,142,000\mathrm{.}001,679,000\mathrm{.}0016$Cost of goods sold$($d$)1,048,500\mathrm{.}0017$Gross profit$($e$)($e$)18$Operating expenses$545,000\mathrm{.}00($f$)19$Net income$($f$)384,100\mathrm{.}00$Required:a$.$ Determine the amounts of the missing items, identifying them by letter.b$.$ Prepare Yakima Companys statement of cost of goods manufactured for May.c$.$ Prepare Yakima Companys income statement for May.