EB$12.$ LO $10\mathrm{.}6$ Power Corp. makes $2$ products: blades for table saws and blades for handsaws.

Each product passes through the sharpening machine area, which is the chief constraint during

production. Handsaw blades take $15$ minutes on the sharpening machine and have a contribution

margin per blade of $$15.$ Table saw blades take $20$ minutes on the sharpening machine and have

a contribution margin per blade of $$35.$ If it is assumed that Power Corp. has $5,000$ hours

available on the sharpening machine to service a minimum demand for each product of $4,000$

units, how many of each product should be made?