A toy manufacturer make bikes, for a profit of $12, and wagons, for a profit of $10. To produce a bike requires 2 hr of machine time and 4 hr painting time. To produce a wagon requires 3 hr machine time and 2 hr painting time. There are 12 hr of machine time and 16 hr of painting time available per day. If the manufacturer must produce at least two bikes and two wagons daily, how many of each toy should be produced to maximize profit? Let x be the number of bikes and y be the number of wagons.

A toy manufacturer make bikes, for a profit of $12, and wagons, for a profit of $10. To produce a bike requires 2 hr of machine time and 4 hr painting time. To produce a wagon requires 3 hr machine time and 2 hr painting time. There are 12 hr of machine time and 16 hr of painting time available per day. If the manufacturer must produce at least two bikes and two wagons daily, how many of each toy should be produced to maximize profit? Let x be the number of bikes and y be the number of wagons.

Name: A toy manufacturer make bikes, for a profit of$12, and wagons, for a
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Description: A toy manufacturer make bikes, for a profit of$12, and wagons, for a profit of $10. To producea bike requires 2 hr of machine time and 4 hrpainting time. To produce a wagon requires 3 hrmachine time and 2 hr painting time. There are12 hr of machine

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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Question

A toy manufacturer make bikes, for a profit of
$12, and wagons, for a profit of $10. To produce
a bike requires 2 hr of machine time and 4 hr
painting time. To produce a wagon requires 3 hr
machine time and 2 hr painting time. There are
12 hr of machine time and 16 hr of painting time
available per day. If the manufacturer must
produce at least two bikes and two wagons
daily, how many of each toy should be produced
to maximize profit?
Let x be the number of bikes and y be the
number of wagons.
Objective Function:
Max
Subject to:
Optimal production policy:
Produce
bikes
and
wagons

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