A company makes a product in two different factories. At factory X it takes 30 hours to producethe product and at factory Y it takes 20 hours. The costs of producing these items are R50 atfactory X...

A company makes a product in two different factories. At factory X it takes 30 hours to producethe product and at factory Y it takes 20 hours. The costs of producing these items are R50 atfactory X and R60 at factory Y. The company’s labour force can provide 6000 hours of laboureach week and resources are R12 000 each week. Management has decided that at least 60units must be made in factory X. How should the company allocate its labour and resources tomaximize the number of products produced?