Jim is a farmer who produces organic tomatoes and conventional corn. The direct growing costs of organic tomatoes and traditional corn are given by αₒQ₀² and αQ In order to have his tomatoes certified as organic, the US Department of Agriculture requires that Jim plant a "buffer zone" (such as a line of trees or grass) between the organic tomatoes and the corn to ensure no pesticides from the cornfields accidentally contaminate the organic tomatoes. Thus in addition to the direct costs of growing the crops mentioned above, Jim must pay aQₒQ in buffer construction costs. (αₒ> 0, α > 0, αB > 0.)
Write Jim’s total cost function as a function of Q₀,Q,α,α₀,αB.