hundred gallons of chocolate peanut-butter, how many gallons of each ice cream should company produce next week to maximize profit? How much profit will result?
hundred gallons of chocolate peanut-butter, how many gallons of each ice cream should company produce next week to maximize profit? How much profit will result?
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
Transcribed Image Text:Jenck's Homemade Ice Cream, LLC is planning its
production for next week. As there is a current shortage
of fresh milk and one of the mixing machines is broken,
demand for chocolate chocolate-chip ice cream and
chocolate peanut-butter ice cream continues to outpace
the company's production capacities.
The mixing machines will be available for only for only
113.4 hours, and only 16718 gallons of high grade milk
will be available. One hundred gallons of chocolate
chocolate-chip requires 0.4 hour of mixing and 71 gallons
of milk. One hundred gallons of chocolate peanut-butter
ice cream requires 0.6 hour of mixing and 76 gallons of
milk. If company earns a profit of $115.00 per hundred
gallons of chocolate chocolate-chip and $130.00 per
hundred gallons of chocolate peanut-butter, how many
gallons of each ice cream should company produce next
week to maximize profit? How much profit will result?
(Use x for hundred gallons of chocolate chocolate-chip
and y for hundred gallons of chocolate peanut-butter.
Use P for profit.)
Maximize P =
16718
< 113.4
subject to
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 ice cream to 2 decimal
places and profit to 2 decimal places.
Gallons of chocolate chocolate-chip ice cream to
manufacture to maximize profit is
(Remember to multiply your value by 100 since the
variable represents 100 gallons. I
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