Answer:
-5x² -7y² +10xy+30x+214y-6717
Step-by-step explanation:
The total cost of the dress is given by :
(101-5x +4y) × (56 +6x - 7y ) × 46
= 4141 - 205x - 664y +3576 +276x -322y
= 71x - 158y +6717
The total revenue can be expressed as:
(101 - 5x + 4y)× x + (56+6x-2y) ×y
=101x - 5x² +4xy +56y +6xy - 7y²
= -5x² -7y² +10xy +101x +56y
The total daily profit from the sale of the dresses is :
= Revenue - cost
= -5x² -7y² +10xy +101x +56y - (71x - 158y +6717)
= -5x² -7y² +10xy +101x +56y -71x + 158y - 6717
= -5x² -7y² +10xy+30x+214y-6717