document.write( "Question 1198757: A company makes two types of biscuits: Jumbo and Regular. The oven can cook at most 400 biscuits per day. Each jumbo biscuit requires 2 oz of flour, each regular biscuit requires 1 oz of flour, and there is 600 oz of flour available. The income from each jumbo biscuit is $0.07 and from each regular biscuit is $0.12 . How many of each size biscuit should be made to maximize income? What is the maximum income?
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document.write( "The company should make how many jumbo and how many regular biscuits. \n" );
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Algebra.Com's Answer #832408 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A company makes two types of biscuits: Jumbo and Regular. \n" ); document.write( "The oven can cook at most 400 biscuits per day. \n" ); document.write( "Each jumbo biscuit requires 2 oz of flour, each regular biscuit requires 1 oz of flour, \n" ); document.write( "and there is 600 oz of flour available. \n" ); document.write( "The profit from each jumbo biscuit is $0.07 and from each regular biscuit is $0.12 . \n" ); document.write( "How many of each size biscuit should be made to maximize profit ? \n" ); document.write( "What is the maximum profit ? \n" ); document.write( "The company should make how many jumbo and how many regular biscuits. \n" ); document.write( "~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " In order for all the words and the terms were correct, I REPLACED in your post \n" ); document.write( " each word \"income\" by \"profit\", at each appearance.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One possible way to solve the problem is to do it as tutor @Theo did it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But there is another, much shorter and much more attractive (and more educational) way, \n" ); document.write( "when your brain does work, instead of running formal procedures.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "As you read the problem, you see that each Jumbo biscuit requires more flour than \r\n" ); document.write( "each Regular biscuit, but provides lesser profit than Regular biscuit.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that the most aggressive strategy should work, when the company produces\r\n" ); document.write( "Regular biscuits ONLY and does not produce Jumbo biscuits, at all.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is so OBVIOUS, that I will not spend my and your time for explanations.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "And since we just chose the strategy, we simply need to divide 600 oz by 1 to get\r\n" ); document.write( "the number of possible Regular biscuits: it is 600/1 = 600.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "But at this point, other restriction turns on: the number of biscuits can not \r\n" ); document.write( "be greater than 400.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " +---------------------------------------------------------------+\r\n" ); document.write( " | Thus the optimal solution/answer is as follows: |\r\n" ); document.write( " | |\r\n" ); document.write( " | 400 Regular biscuits should be produced; no Jumbo biscuits; |\r\n" ); document.write( " | optimal (maximum) profit is 400*0.12 = 48 dollars. |\r\n" ); document.write( " +---------------------------------------------------------------+\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved, completed and explained.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You do not need to use heavy artillery to solve this joking entertainment problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Common sense PLUS a bit of thinking is enough.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I am more than 100% sure that this presented solution is the expected way to solve the problem.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |