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Suppose that Frank's utility function for goods ? and ? is ?(?, ?) = 5? +...

Suppose that Frank's utility function for goods ? and ? is ?(?, ?) = 5? + 6?. If ? costs $3/unit and ? costs $7per unit, and Frank budgets $42 to spend on some combination of ? and ?, what is the exact combination of the two goods that maximizes Frank's utility while exactly satisfying his budget constraint? Also, what happens to Frank's utility level if the price of ? rises from $3/unit to $6/unit, while the price of ? falls from $7 per unit to $6 per unit (assume that all else is held constant)?  

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