A firm produces dog cones with two variable inputs labour (L)and plastic (K)-and has the following production

A firm produces dog cones with two variable inputs labour (L)and plastic (K)-and has the following productionfunction:f(L,K)=6L3K6If the price of output is 4,the price of labour is $2 and the price of plastic $3,calculate the profit-maximizing level ofeach input,the total production,as well as profit.