Question: Can you explain the following exercises step by step below in the image? Please, clean and understandable. Slope of a graph and linear inequalities Solve

Can you explain the following exercises step by step below in the image?

Please, clean and understandable.

Can you explain the following exercises step by step below in the

Slope of a graph and linear inequalities Solve the following exercises step by step using formulas: 1. The Lopez company is dedicated to the manufacture and sale of desks. After a study, they determined that the variable cost for manufacturing a desk is $ 28 and the fixed manufacturing costs are $ 1527. Formula: y = mx + b a. Assuming that the total cost of manufacturing a desk has a linear model, it determines the total cost C for manufacturing "x" desks per day. b. What does the slope mean in the linear model? c. What is the total cost for the Lopez company for manufacturing 325 desks? 2. Carlos creates a company selling patterned shirts. He finds that for a price of $ 8 for each shirt he manages to sell 1900 shirts a month. If the price of each shirt is $ 10, you can only sell 1450 shirts. Identify first (xi y1) and (xa y2) to solve the following: a. Assuming that the number of shirts sold can be modeled linearly based on the price of each shirt, determine the equation that models the total number of shirts sold in a month. () - )1) = m(x - x1) b. What does the slope in the equation mean? (M=?) c. Carlos left an employee in charge of selling the shirts. This puts a price and only managed to sell 1575 shirts. What was the price of the shirts? 3. The cost of producing "x" items is given by y = 3.5x + 897. Each item sells for $ 5, so the income from selling "x" items is given by y; = 5x. a. Determine the profit equation y, = y; - ().). b. The company produces and sells 625 items. Is there profit or loss? Explain the result. c. The company produces and sells 560 items. Is there profit or loss? Explain the result. d. How many items should the company produce and sell in order to have no profit or loss

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