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 108.6 hours, and only 15770 gallons of high grade milk will be available. One hundred gallons of chocolate chocolate-chip requires 0.4 hour of mixing and 70 gallons of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.6 hour of mixing and 75 gallons of milk. If company earns a profit of $150.00 per hundred gallons of chocolate chocolate-chip and $155.00 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 subject to %3D < 15770 < 108.6 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 (Remember to multiply your value by 100 since the variable represents 100 gallons.) Gallons of chocolate peanut-butter ice cream to manufacture to maximize profit is (Remember to multiply your value by 100 since the variable represents 100 gallons.) 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 108.6 hours, and only 15770 gallons of high grade milk will be available. One hundred gallons of chocolate chocolate-chip requires 0.4 hour of mixing and 70 gallons of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.6 hour of mixing and 75 gallons of milk. If company earns a profit of $150.00 per hundred gallons of chocolate chocolate-chip and $155.00 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 subject to %3D < 15770 < 108.6 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 (Remember to multiply your value by 100 since the variable represents 100 gallons.) Gallons of chocolate peanut-butter ice cream to manufacture to maximize profit is (Remember to multiply your value by 100 since the variable represents 100 gallons.) Maximum profit is $
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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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 108.6 hours, and only 15770 gallons of high grade milk
will be available. One hundred gallons of chocolate chocolate-chip requires 0.4 hour of mixing and 70 gallons
of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.6 hour of mixing and 75 gallons
of milk. If company earns a profit of $150.00 per hundred gallons of chocolate chocolate-chip and $155.00 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
subject to
!!
< 15770
< 108.6
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
(Remember to multiply your value by 100 since the variable represents 100 gallons.)
Gallons of chocolate peanut-butter ice cream to manufacture to maximize profit is
(Remember to multiply your value by 100 since the variable represents 100 gallons.)
Maximum profit is $
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