A diabetic patient needs at least 30 units of vitamin A, at least 45 of vitamin C, and at least 30 of vitamin E each day. Each brand X multivitamin capsule contains 4 units of A, 6 of C, and 2 of E; each brand Y capsule contains 5 units of A, 3 of C, and 5 of E. If each brand X capsule costs ₱ 6 and each brand Y costs ₱ 9, how many capsules should the patient take each day in order to minimize the cost?

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A diabetic patient needs at least 30 units of vitamin A, at least 45 of vitamin C, and
at least 30 of vitamin E each day. Each brand X multivitamin capsule contains 4
units of A, 6 of C, and 2 of E; each brand Y capsule contains 5 units of A, 3 of C,
and 5 of E. If each brand X capsule costs ₱ 6 and each brand Y costs ₱ 9, how
many capsules should the patient take each day in order to minimize the cost?

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