$[1\mathrm{.}10]$ An oil refinery can buy two types of oil: light crude oil and heavy crude

oil. The cost per barrel of these types is respectively $$20$ and $$15.$ The following

quantities of gasoline, kerosene, and jet fuel are produced per barrel of each type

of oil.

GASOLINE KEROSENE JET FUEL

Light crude oil $0\mathrm{.}40\mathrm{.}20\mathrm{.}35$

Heavy crude oil $032040\mathrm{.}2$

Note that $5$ percent and $8$ percent, respectively, of the light and heavy crude oil

are lost during the refining process. The refinery has contracted to deliver $1$

million barrels of gasoline, $500,000$ barrels of kerosene, and $300,000$ barrels of

jet fuel. Formulate the problem of finding the number of barrels of each crude

oil that satisfies the demand and minimizes the total cost as a linear program.