Let r(x) = -x^2+33x+40 denote the revenue in thousands of dollars generated from the production of x units. What is the break even point? Compute and compare the marginal revenue and marginal cost at the break-even point. Should the company increase production beyond the break even point?

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %