[10 marks] For the following problem, (i) formulate, (ii) solve graphically by sketching the constraints

and a few iso-profit lines, (iii) solve by hand using the Simplex tableau:

The Kanata Semiconductor Corporation (KCC) produces microprocessors and memory chips for use in

video switching gear. Each memory chip requires 2g of silicon, and 1g of metal to produce, and can be

sold for $30. Each microprocessor requires 1g of silicon, and 2g of metal to produce, and can be sold for

$50. Due to supply chain issues, KCC can only buy 0.4 kg of silicon per day, and 0.3 kg of metal per day.

What combination of microprocessors and memory chips produced per day will maximize income?