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 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤ 118 2805 <390.5 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
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 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤ 118 2805 <390.5 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
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 118 hours, only
2805 hours are available for painting, and 390.5 lbs. of
supplies are available. Each Lexi doll requires 0.2 hours of
sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each
Maysy doll requires 0.4 hours of sewing, 10 hours of
painting, and uses 0.9 pounds of supplies. Each Dizzy doll
requires 0.5 hours of sewing, 7 hours of painting, and 2
pounds of supplies. If the company earns a profit of $145
per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll,
how many of each doll should the company produce to
maximize profit? How much profit will result?
(Use for the number of Lexi dolls, y for the number of
Maysy dolls, and z for the number of Dizzy dolls.)
Maximize P =
subject to
≤118
≤2805
<390.5
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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