A cargo container (in the shape of a rectangular solid) must…

A cargo container (in the shape of a rectangular solid) must have a volume of 520 cubic feet. The bottom will cost $7 per square foot to construct and the sides and the top will cost $3 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost.  

Suppose a pharmaceutical corporation has two plants that pro…

Suppose a pharmaceutical corporation has two plants that produce the same over-the-counter medicine. If and are the numbers of  units produced at plant 1 and plant 2, respectively, then the total revenue for the product is given by . When and find the marginal revenue for plant 1. ​

Suppose electrical power P is given by , where E is voltage…

Suppose electrical power P is given by , where E is voltage and R is resistance. Approximate the maximum percent error in calculating the power if 120 volts are applied to a 5000-ohm resistor and the possible percent errors in measuring E and R are 8% and 2%, respectively. ​