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 158.6 hours, and only 17500 gallons of high grade milk will be available. One hundred gallons of chocolate chocolate-chip requires 0.6 hour of mixing and 75 gallons of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.8 hour of mixing and 80 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.) Maximize P = = subject to <17500 158.6 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 Gallons of chocolate peanut-butter ice cream to manufacture to maximize profit is Maximum profit is $
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 158.6 hours, and only 17500 gallons of high grade milk will be available. One hundred gallons of chocolate chocolate-chip requires 0.6 hour of mixing and 75 gallons of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.8 hour of mixing and 80 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.) Maximize P = = subject to <17500 158.6 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 Gallons of chocolate peanut-butter ice cream to manufacture to maximize profit is Maximum 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: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 158.6 hours, and only 17500 gallons of high grade
milk will be available. One hundred gallons of chocolate chocolate-chip requires 0.6 hour of mixing and 75
gallons of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.8 hour of mixing and
80 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.)
Maximize P =
=
subject to
<17500
158.6
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
Gallons of chocolate peanut-butter ice cream to manufacture to maximize profit is
Maximum profit is $
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