Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 238.5 hours, only 3325 hours are available for painting, and 684 lbs. of supplies are available. Each Lexi doll requires 0.6 hours of sewing, 10 hours of painting, and 1.8 lbs. of supplies. Each Maysy doll requires 0.8 hours of sewing, 8 hours of painting, and uses 2.4 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 9 hours of painting, and 1.2 pounds of supplies. If the company earns a profit of $135 per Lexi doll, $155 per Maysy doll, and $160 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use a for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P= 135x + 155y + 160z✓ subject to 0.6x +0.8y +0.5z 238.5 <3325 684 10x+8y +9z 1.8z +2.4y+1.2z✓ Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed, round dolls to the nearest whole and profit to 2 decimal places. Number of Lexi dolls to maximize profit is Number of Maysy dolls to maximize profit is Number of Dizzy dolls to maximize profit is Maximum profit is s
Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 238.5 hours, only 3325 hours are available for painting, and 684 lbs. of supplies are available. Each Lexi doll requires 0.6 hours of sewing, 10 hours of painting, and 1.8 lbs. of supplies. Each Maysy doll requires 0.8 hours of sewing, 8 hours of painting, and uses 2.4 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 9 hours of painting, and 1.2 pounds of supplies. If the company earns a profit of $135 per Lexi doll, $155 per Maysy doll, and $160 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use a for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P= 135x + 155y + 160z✓ subject to 0.6x +0.8y +0.5z 238.5 <3325 684 10x+8y +9z 1.8z +2.4y+1.2z✓ Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed, round dolls to the nearest whole and profit to 2 decimal places. Number of Lexi dolls to maximize profit is Number of Maysy dolls to maximize profit is Number of Dizzy dolls to maximize profit is Maximum profit is s
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time,
painting time, and supplies.
Sewing machines are available for only 238.5 hours, only 3325 hours are available for painting,
and 684 lbs. of supplies are available. Each Lexi doll requires 0.6 hours of sewing, 10 hours of
painting, and 1.8 lbs. of supplies. Each Maysy doll requires 0.8 hours of sewing, 8 hours of
painting, and uses 2.4 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 9 hours of
painting, and 1.2 pounds of supplies. If the company earns a profit of $135 per Lexi doll, $155 per
Maysy doll, and $160 per Dizzy doll, how many of each doll should the company produce to
maximize profit? How much profit will result?
(Use a for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of
Dizzy dolls.)
Maximize P= 135x + 155y + 160z✓ subject to
0.6x +0.8y +0.5z
238.5
<3325
684
10x+8y +9z
1.8z +2.4y+1.2z✓
Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes
below. If more than one solution exists, enter only one of the multiple solutions below. If needed,
round dolls to the nearest whole and profit to 2 decimal places.
Number of Lexi dolls to maximize profit is
Number of Maysy dolls to maximize profit is
Number of Dizzy dolls to maximize profit is
Maximum profit is $
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