These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor: R(x) = -31.72x2 + 2,030x C(x) = -126.96x + 26,391 The maximum profit of $ can be made when the selling price of the dog food is set to $ per bag.

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jefferson hoped to establish trade with the native american people of the west and find a water route to the pacific. jefferson also was fascinated by the prospect of what could be learned about the geography of the west, the lives and languages of the native americans, the plants and animals, the soil, the rocks, the weather, and how they differed from those in the east.

answer; (b) ; /stronger bonds between the nations of africa

manifest functions are the recognized and intended consequences of any social pattern, while latent functions are those unrecognized and unintended consequences. to analyze the manifest functions of any social institution, we have to study its contribution to the continuation of a group, community, or society.