A small factory is currently fully occupied making 2000 dolls a day. There is now a decision to make a deluxe version which takes twice as long to manufacture as the original doll. There is no possibility of more staff or better equipment and the supplier has informed the company that supplies of plastic will be limited to the amount equivalent to 1500 dolls per day. (Both dolls take the same amount of plastic). The purchasing department can obtain only 600 dresses per day for the deluxe doll. On direct selling the profit is $3 each on the basic doll and $5 on the deluxe version. Required: (a) Formulate an LP model to determine the daily production schedule. (b) Using graphical analysis determine how many of each doll you propose should be made and the daily profit. A small factory is currently fully occupied making 2000 dolls a day. There is now a decision to make a deluxe version which takes twice as long to manufacture as the original doll. There is no possibility of more staff or better equipment and the supplier has informed the company that supplies of plastic will be limited to the amount equivalent to 1500 dolls per day. (Both dolls take the same amount of plastic). The purchasing department can obtain only 600 dresses per day for the deluxe doll. On direct selling the profit is $3 each on the basic doll and $5 on the deluxe version. Required: (a) Formulate an LP model to determine the daily production schedule. (b) Using graphical analysis determine how many of each doll you propose should be made and the daily profit