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The Owner of the Health JuiceBar Wishes to Prepare a Low-Calorie

question 32

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The owner of the Health JuiceBar wishes to prepare a low-calorie fruit juice with a high vitamin-A and -C content by blending orange juice and pink grapefruit juice. Each glass of the blended juice is to contain at least 1,260 International Units (IU) of vitamin A and 184 IU of vitamin C. One ounce of orange juice contains 70 IU of vitamin A, 18 IU of vitamin C, and 13 calories; each ounce of pink grapefruit juice contains 140 IU of vitamin A, 16 IU of vitamin C, and 12 calories. How many ounces of each juice should a glass of the blend contain if it is to meet the minimum vitamin requirements while containing a minimum number of calories?


Definitions:

Axon

Main central process of a neuron that normally conducts action potentials away from the neuron cell body.

Node of Ranvier

Gaps in the myelin sheath of nerve fibers where action potentials are generated, aiding in the rapid transmission of nerve impulses.

Dendrites

Extensions of neurons that receive signals from other neurons or sensory stimuli and convey them toward the cell body.

Chemical Synapse

A type of synapse at which a chemical (neurotransmitter) is released from the axon terminal of a neuron into the synaptic cleft between neurons, facilitating neural communication.

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