A toy manufacturer makes miniature trucks. The price p (in dollar) and the demand x (number of miniature trucks) are related by the equation 6000 − 600p = x. The total cost for the same toy manufacturer to produce x miniature trucks can be modeled by C(x) = 8x + 450. (a) Express the price p in terms of the demand x. Find the revenue R(x) if the manufacturer sells x miniature trucks in a month and find the domain of this function. (b) Graph the cost and revenue functions on the same coordinate system for 0 ≤ x ≤ 6000. (c) What is the minimum number of trucks the toy manufacturer must sell to break even? (d) Find P' (300) and interpret the result. (e) What is the exact profit from the sale of the 301st miniature truck?
A toy manufacturer makes miniature trucks. The price p (in dollar) and the demand x (number of miniature trucks) are related by the equation 6000 − 600p = x. The total cost for the same toy manufacturer to produce x miniature trucks can be modeled by C(x) = 8x + 450. (a) Express the price p in terms of the demand x. Find the revenue R(x) if the manufacturer sells x miniature trucks in a month and find the domain of this function. (b) Graph the cost and revenue functions on the same coordinate system for 0 ≤ x ≤ 6000. (c) What is the minimum number of trucks the toy manufacturer must sell to break even? (d) Find P' (300) and interpret the result. (e) What is the exact profit from the sale of the 301st miniature truck?
A toy manufacturer makes miniature trucks. The price p (in dollar) and the demand x (number of miniature trucks) are related by the equation 6000 − 600p = x. The total cost for the same toy manufacturer to produce x miniature trucks can be modeled by C(x) = 8x + 450. (a) Express the price p in terms of the demand x. Find the revenue R(x) if the manufacturer sells x miniature trucks in a month and find the domain of this function. (b) Graph the cost and revenue functions on the same coordinate system for 0 ≤ x ≤ 6000. (c) What is the minimum number of trucks the toy manufacturer must sell to break even? (d) Find P' (300) and interpret the result. (e) What is the exact profit from the sale of the 301st miniature truck?
A toy manufacturer makes miniature trucks. The price p (in dollar) and the demand x (number of miniature trucks) are related by the equation 6000 − 600p = x. The total cost for the same toy manufacturer to produce x miniature trucks can be modeled by C(x) = 8x + 450. (a) Express the price p in terms of the demand x. Find the revenue R(x) if the manufacturer sells x miniature trucks in a month and find the domain of this function. (b) Graph the cost and revenue functions on the same coordinate system for 0 ≤ x ≤ 6000. (c) What is the minimum number of trucks the toy manufacturer must sell to break even? (d) Find P' (300) and interpret the result. (e) What is the exact profit from the sale of the 301st miniature truck?
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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