Radio manufacturing company sells a special brand of radio at Rs. 1000 per set. The cost function of making x sets in one year is given by C = 6 + 2x + 0.01x2. How many radio sets should be produced and sold to earn the maximum profit?

Find the surface area of the prism formed by the net

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Using the side-splitter theorem, daniel wrote a proportion for the segment formed by luke segment de. what is ec?