A company manufactures two models of motorcycles, A and B$.$

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The fixed production cost of the factory is $$440000$ per day.

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The sum of labor, material and other production costs per unit for motorcycle type A is $$10000,$ and for motorcycle type B is $$15000.$

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The selling price of motorcycle type A is $$16000$ and that of motorcycle type B is $$28000.$

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There is a supply problem with an important part required for the production of motorcycles, which is supplied by an external supplier, and the supplier can supply a maximum of $180$ units of this part per day. This part is used in $2$ units for each type A motorcycle and $5$ units for each type B motorcycle.

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For another part in a similar situation, the supplier can supply a maximum of $150$ units per day. This part is used in $4$ motorcycles of type A and $3$ motorcycles of type B$.$

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Find the production quantities that will generate the highest revenue at the lowest cost for the firm that has capital efficiency problems.