The salt creek soap company has determined the following nonlinear model to determine the optimal pounds of industrial soap (x1) and shampoo (x2) it should produce each day. maximize z= x12 + 2x22-8x1-12x2 + 34 subject to: x1 + 2x2 ? 6 lbs what quantities of soap and shampoo maximize profit? 1) x1 = 1, x2-2 3)x1-0, x2-2

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?

A25- foot ladder leans against a building and reaches a point of 23.5 feet above the ground .find the angle that the ladder makes with the building

Problem situation: caren is making rice and beans. she can spend no more than $10 on ingredients. she buys one bag of rice for $4.99. beans cost $0.74 per pound. how many pounds of beans, x, can she buy? inequality that represents this situation: 10≥4.99+0.74x drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.