A coffee merchant sells three blends of coffee. A bag of houseblend contains 300 grams of Colombian beans, 50 grams of Kenyanbeans, and 150 grams of French roast beans. A bag of specialblend contains 200 grams of Colombian beans, 200 grams of Kenyanbeans, and 100 grams of French roast beans. A bag of Gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyanbeans and 50 grams of French roast beans. Merchant has on hand 30kg of Colombian beans, 15 kg of Kenyan beans and 15 kg of French roast beans. One bag of the house blend produces profit of $0.50 , onebag of the Special blend produces a profit of$1.50, and one bag ofthe gourmet blend produces a profit of $2.00. How many bags of eachtype should the merchant prepare if he wants to use up all of thebeans and maximize his prof A coffee merchant sells three blends of coffee. A bag of houseblend contains 300 grams of Colombian beans, 50 grams of Kenyanbeans, and 150 grams of French roast beans. A bag of specialblend contains 200 grams of Colombian beans, 200 grams of Kenyanbeans, and 100 grams of French roast beans. A bag of Gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyanbeans and 50 grams of French roast beans. Merchant has on hand 30kg of Colombian beans, 15 kg of Kenyan beans and 15 kg of French roast beans. One bag of the house blend produces profit of$0.50 , onebag of the Special blend produces a profit of $1.50, and one bag ofthe gourmet blend produces a profit of$2.00. How many bags of eachtype should the merchant prepare if he wants to use up all of thebeans and maximize his prof

Question
Equations and inequalities
A coffee merchant sells three blends of coffee. A bag of houseblend contains 300 grams of Colombian beans, 50 grams of Kenyanbeans, and 150 grams of French roast beans. A bag of specialblend contains 200 grams of Colombian beans, 200 grams of Kenyanbeans, and 100 grams of French roast beans. A bag of Gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyanbeans and 50 grams of French roast beans. Merchant has on hand 30kg of Colombian beans, 15 kg of Kenyan beans and 15 kg of French roast beans. One bag of the house blend produces profit of $0.50 , onebag of the Special blend produces a profit of$1.50, and one bag ofthe gourmet blend produces a profit of $2.00. How many bags of eachtype should the merchant prepare if he wants to use up all of thebeans and maximize his profit? What is the maximum profit? Answers (1) 2021-02-02 x=300-4y-7z z=300-2y-3x Nowtake your solution for x and plug it into the expression you have for z to get: z = 300- 2y - 3(300 - 4y - 7z) Solve that for z. Now plug that z into the expression you have forx. That will give you x = f(y) and z = g(y). Plug thoseinto the profit equation and it will now be only in terms ofy. Maximization should be easy from there. Relevant Questions asked 2021-04-25 A wagon with two boxes of Gold, having total mass 300 kg, is cutloose from the hoses by an outlaw when the wagon is at rest 50m upa 6.0 degree slope. The outlaw plans to have the wagon roll downthe slope and across the level ground, and then fall into thecanyon where his confederates wait. But in a tree 40m from thecanyon edge wait the Lone Ranger (mass 75.0kg) and Tonto (mass60.0kg). They drop vertically into the wagon as it passes beneaththem. a) if they require 5.0 s to grab the gold and jump out, willthey make it before the wagon goes over the edge? b) When the twoheroes drop into the wagon, is the kinetic energy of the system ofthe heroes plus the wagon conserved? If not, does it increase ordecrease and by how much? asked 2020-12-16 The owner of a pet food store wants to mix birdseed that costs$1.25 per pound with sunflower seed that cost $0.75 per pound to make 50 pounds of a mixture that costs$1.00 per pound. How many pounds of each type of seed should he use?
A 10 kg objectexperiences a horizontal force which causes it to accelerate at 5 $$\displaystyle\frac{{m}}{{s}^{{2}}}$$, moving it a distance of 20 m, horizontally.How much work is done by the force?
A ball is connected to a rope and swung around in uniform circular motion.The tension in the rope is measured at 10 N and the radius of thecircle is 1 m. How much work is done in one revolution around the circle?
A 10 kg weight issuspended in the air by a strong cable. How much work is done, perunit time, in suspending the weight?
A 5 kg block is moved up a 30 degree incline by a force of 50 N, parallel to the incline. The coefficient of kinetic friction between the block and the incline is .25. How much work is done by the 50 N force in moving the block a distance of 10 meters? What is the total workdone on the block over the same distance?
What is the kinetic energy of a 2 kg ball that travels a distance of 50 metersin 5 seconds?
A ball is thrown vertically with a velocity of 25 m/s. How high does it go? What is its velocity when it reaches a height of 25 m?
A ball with enough speed can complete a vertical loop. With what speed must the ballenter the loop to complete a 2 m loop? (Keep in mind that the velocity of the ball is not constant throughout the loop).
The crane shown in the drawing is lifting a 182-kg crate upward with an acceleration of $$\displaystyle{1.5}\frac{{m}}{{s}^{{2}}}$$. The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 130 kg. The cable is then wound ontoa hollow cylindrical drum that is mounted on the deck of the crane.The mass of the drum is 150 kg, and its radius is 0.76 m. The engine applies a counter clockwise torque to the drum in order towind up the cable. What is the magnitude of this torque? Ignore the mass of the cable.
A man lost in a maze makes three consecutive displacements so that at the end of his travel he is right back where he started. The first displacement is 4.00 m westward, and the second is 10.0 m northward. Use the graphical method to find the magnitude and direction of the third displacement.
A 75.0-kg man steps off a platform 3.10 m above the ground. Hekeeps his legs straight as he falls, but at the moment his feettouch the ground his knees begin to bend, and, treated as aparticle, he moves an additional 0.60 m before coming torest.
a) what is the speed at the instant his feet touch theground?
b) treating him as a particle, what is his acceleration(magnitude and direction) as he slows down, if the acceleration isassumed to be constant?
c) draw his free-body diagram (see section 4.6). in termsof forces on the diagram, what is the net force on him? usenewton's laws and the results of part (b) to calculate the averageforce his feet exert on the ground while he slows down. expressthis force in newtons and also as a multiple of his weight.
a)Assuming that Albertine's mass is 60.0kg , what is $$\displaystyle\mu_{{k}}$$, the coefficient of kinetic friction between the chair and the waxed floor? Use $$\displaystyle{g}={9.80}\frac{{m}}{{s}^{{2}}}$$ for the magnitude of the acceleration due to gravity. Assume that the value of k found in Part A has three significant figures. Note that if you did not assume that k has three significant figures, it would be impossible to get three significant figures for $$\displaystyle\mu_{{k}}$$, since the length scale along the bottom of the applet does not allow you to measure distances to that accuracy with different values of k.