document.write( "Question 1153400: A patient takes vitamin pills. Each day he must have at least 150 IU of vitamin A, 3 mg of vitamin Upper B 1, and 30 mg of vitamin C. He can choose between pill 1, which contains 90 IU of vitamin A, 1 mg of vitamin Upper B 1, and 5 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 1 mg of vitamin Upper B 1, and 20 mg of vitamin C. Pill 1 costs 25cents, and pill 2 costs 75cents. How many of Pill 1 and pill 2 should he buy? What is the minimum cost? \n" ); document.write( "

Algebra.Com's Answer #775618 by ikleyn(52775) $\"\"$ $\"About$

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document.write( "The need       vitamin A    Vitamin B1    Vitamin C\r\n" );
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document.write( "                 150 IU        3 mg          30 mg\r\n" );
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document.write( "Pill 1           90 IU         1 mg           5 mg\r\n" );
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document.write( "Pill 2           30 IU         1 mg           20 mg\r\n" );
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document.write( "There are not so many configurations n*Pill1 + m*Pill2,  so we can easily analyse all potential variants.\r\n" );
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document.write( "                                                       Cost, in cents\r\n" );
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document.write( "1*Pill1+2*Pill2  150 IU         3 mg           45 mg   175 \r\n" );
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document.write( "6*Pill1+0*Pill2  540 IU         6 mg           30 mg   150\r\n" );
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document.write( "0*Pill1+5*Pill2  150IU          5 mg           100 mg  375\r\n" );
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document.write( "All other variants EITHER do not provide the required parameters OR are farther from the goal, regarding the price, obviously.\r\n" );
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document.write( "So, there are only these 3 variants, of them variant 6 Pills 1 + 0 Pills 2 is the most cheaper.     \r\n" );
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document.write( "ANSWER.  Version  (6 Pills 1 + 0 Pills 2) provides the required parameters and is the most cheap.  It costs $1.50.\r\n" );
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