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An Ice Cream Supplier Has Two Machines That Produce Vanilla

question 28

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An ice cream supplier has two machines that produce vanilla and chocolate ice cream. To meet one of its contractual obligations, the company must produce at least 78 gallons of vanilla ice cream and 22 gallons of chocolate ice cream per day. One machine makes 11 gallons of vanilla and 2 gallons of chocolate ice cream per hour. The second machine makes 6 gallons of vanilla and 5 gallons of chocolate ice cream per hour. It costs $38 per hour to run machine 1 and $38 per hour to run machine 2. How many hours should each machine be operated to fulfill the contract at the least expense?


Definitions:

Actin Filaments

Protein filaments in the cytoskeleton of eukaryotic cells, playing a key role in cell movement, shape, and division.

Animal Cells

Eukaryotic cells characterized by the absence of a cell wall, presence of membrane-bound organelles, and the ability to move at some point in their life cycle.

Asters

Star-shaped structures formed around chromosomes during cell division in plant and animal cells, assisting in the equal segregation of chromosomes to daughter cells.

Centrosomes

Organelles found in animal cells that serve as the main microtubule organizing centers and play crucial roles in cell division.

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