2 Question Oya Hoca has a flower shop specialized in arranging three types of flower bouquets, Roses, Lilies and Tulips, using different types of flowers. The flower shop has two florists, each with a unique flower arranging skill. Florists' efficiencies (in bouquets per hour) are given below. Florist 1: 6 bouquets of Roses or 4 bouquets of Lilies or 2 bouquets of Tulips per hour Florist 2: 5 bouquets of Roses or 3 bouquets of Lilies or 3 bouquets of Tulips per hour Each florist has a maximum of 60 hours of available time in a week. The demand for Roses is 80 bouquets, the demand for Lilies is 60 bouquets and the demand for Tulips is 30. The profit per bouquet for Roses is $15, for Lilies, it's $10 and for Tulips it's $20. Formulate a linear programming model to maximize the total weekly profit of Oya Hoca's flower shop while meeting the demand and time constraints. Assume fractional amounts of bouquets can be produced for simplicity.

2 Question Oya Hoca has a flower shop specialized in arranging three types of flower bouquets, Roses, Lilies and Tulips, using different types of flowers. The flower shop has two florists, each with a unique flower arranging skill. Florists' efficiencies (in bouquets per hour) are given below. Florist 1: 6 bouquets of Roses or 4 bouquets of Lilies or 2 bouquets of Tulips per hour Florist 2: 5 bouquets of Roses or 3 bouquets of Lilies or 3 bouquets of Tulips per hour Each florist has a maximum of 60 hours of available time in a week. The demand for Roses is 80 bouquets, the demand for Lilies is 60 bouquets and the demand for Tulips is 30 . The profit per bouquet for Roses is $15, for Lilies, it's $10 and for Tulips it's $20. Formulate a linear programming model to maximize the total weekly profit of Oya Hoca's flower shop while meeting the demand and time constraints. Assume fractional amounts of bouquets can be produced for simplicity