Please take your time to answer this comprehensive question. It's a very large question, so your thorough response is greatly appreciated.

When you address the graphs, ensure they are clear and visible, accompanied by a well-explained description.

The objective function aims to either minimize or maximize a certain value, and it is represented as follows:

A) Objective: Z = Answer X + Answer Y

Subject to:

4x + 2y = Answer (C 1)

4x + 12y = Answer (C 2)

For X, Y, and Z, please round the responses to two decimal places. This is important because, in the past, some experts did not adhere to this instruction, which led to confusion. I had to rate them negatively because they did not follow the guidelines. If you provide a correct response, I will be sure to give you a positive rating.

Format your answers as follows:

X = (your answer) to 2 decimal places.

Y = (your answer) to 2 decimal places.

Z = (your answer) to 2 decimal places.

Additionally, please provide a clear and detailed explanation. Thank you.

A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 48 hours of labor and 120 units of lumber. Wren houses yield a profit of $10 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to the objective value. f wren houses to be produced f bluebird houses to be produced Minimize Z=X+Y Maximize 4X+2Y4X+12YX,Y048120(C1)(C2) b) On the graph on right, constraints C1 and C2 have been plotted. A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 48 hours of labor and 120 units of lumber. Wren houses yield a profit of $10 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to the objective value. Decision variables: X= number of wren houses to be produced Y= number of bluebird houses to be produced a) Objective function: Z=X+Y Subject to: 4X+2Y4X+12Y4X,Y048120(C1)(C2) b) On the graph on right, constraints C1 and C2 have been plotted. A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 48 hours of labor and 120 units of lumber. Wren houses yield a profit of $10 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to the objective value. Decision variables: X= number of wren houses to be produced Y= number of bluebird houses to be produced a) Objective function: Z=X+Y Subject to: 4X+2Y4X+12YX,Y b) On the graph on right, constrair plotted. - A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 48 hours of labor and 120 units of lumber. Wren houses yield a profit of $10 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to the objective value. Decision variables: X= number of wren houses to be produced Y= number of bluebird houses to be produced a) Objective function: Z=X+Y Subject to: b) On the graph on right, constraints plotted. Z=X+Y Subject to: 4X+2Y48(C1)4X+12Y120X,Y0 b) On the graph on right, constraints C1 and C2 have been plotted. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X= (round your response to two decimal places). Y= (round your response to two decimal places). Optimal solution value ' Z ' = (round your response to two decimal phaces)