Suppose a trough with trapezoidal cross sections is formed by turning up the edges of a 30-inch-wide sheet of aluminum (see figure) . Find the cross section of maximum area. 
Definitions:
Market Share
represents the percentage of an industry's sales that is controlled by a particular company, indicating its strength in the market.
Superior-Quality
Refers to products, services, or materials that surpass standard quality measures in terms of performance, durability, and reliability.
Tying Agreements
Business practices where the sale of one product or service is conditioned on the purchase of another, potentially anticompetitive product or service.
Sherman Act
A landmark federal statute in the antitrust law of the United States, aimed at preserving fair competition by prohibiting monopolies and other practices that restrained trade.
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