finite math, word problems 4.2 section 1310 webassign

Question

A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to make, and the cordless model requires 4 hours. The company has only 800 work hours to use in manufacturing each day, and the packaging department can package only 300 trimmers per day. If the company profits are $36.50 for the cord-type model and $73.00 for the cordless model, how many of each type should the company produce per day to maximize profits?

Scenario #1 (with the smaller number of cord-type trimmers):

	corded models
	cordless models

Scenario #2 (with the larger number of cord-type trimmers):

	corded models
	cordless models

Answer 1

This problem requires a system of inequalities. Let x represent the cordless models and y represent the corded models. Write an inequality for hours (must be less than or equal to a total of 800 hours. Write an inequality for trimmers packaged per day. This must be less than or equal to (≤) 300.

put these graphs into a Desmos.com graphing calculator. Pay attention to where the graphs intersect. Those positive points of intersection (you can’t make negative amounts) are the optimal outcomes. Test out the two different scenarios to see how much they will profit.

I can help more, but see if you can start building toward your solution.