What amounts of the inputs x y and z should a firm use to, Microeconomics

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What amounts of the inputs x y and z should a firm use to

Question: 1. What amounts of the inputs x, y and z should a firm use to maximize output if it faces the production function Q = 2x0.4y0.2z0.6 and it has a budget of £600, given that the prices of x, y and z are respectively £4, £1 and £2 per unit?

2. A firm buys the inputs x, y and z for £5, £10 and £2 respectively per unit. If its production function is Q = 60x0.2y0.4z0.5 how much can it produce for an outlay of £8,250?

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