Tom’s Inc. makes two salsa products: Western Foods salsa and Mexico City salsa. Essentially, the two products have different blends of whole tomatoes, tomato sauce, and tomato paste. A jar of Western Foods salsa uses 5 ounce of whole tomatoes, 3 ounces of tomato sauce, and 2 ounces of tomato paste. A jar of Mexico City salsa consists of 7 ounces of whole tomatoes, 1 ounce of tomato sauce, and 2 ounces of tomato paste. For the current production period Tom’s Inc. can purchase up to 4480 ounces of whole tomatoes, 2080 ounces of tomato sauce, and 1600 ounces of tomato paste. Tom’s Inc. makes a profit of $1.00 per jar of Western Foods salsa and $1.25 per jar of Mexico City salsa. The following linear optimization model was used to determine the mix of salsa products that will maximize the total profit contribution. Let W be the number of jars of Western Foods Salsa M be the number of jars of Mexico City Salsa Formulate the above as a Linear Problem & fill in the blanks. Please provide values for number of constraints that exist. a) Objective function is with (number of) constraints defined below. b) Constraint 1 is c) Constraint 2 is d) Constraint 3 is e) Non-negativity constraint is

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

Daniel owns 100 shares of abc corporation's common stock. abc uses the fair value option, and recent declines in the firm's credit rating have caused the value of the firm's outstanding bonds payable to drop by 10%. daniel feels this is good news, but he wants to know what you think about the situation. which of the following represents your best response? a : "this situation may be positive for you in that the change in abc's credit standing indicates that the value of the firm's assets is likely increasing. however, the drop in bond value may negate any positive effects on your bottom line, because it means your claim on the firm's assets is simultaneously decreasing." b : "actually, this is bad news all around. the drop in the value of abc's bonds payable means shareholders' claims on the firm's assets have decreased. moreover, abc's declining credit rating means that the firm's assets are probably also dropping in value, thus magnifying your losses even more." c : "on the surface, this seems like good news because it means your claim on the firm's assets has increased. however, the drop in creditworthiness may also indicate that abc's assets are declining in value, thus offsetting any gains associated with the drop in bonds payable." d : "you're right! this is good news because it means that abc's debtholders have a decreased claim on the firm's assets. as a result, the firm's existing shareholders"like you"have seen their claim on the firm's assets increase."

Amanda rice has just arranged to purchase a $640,000 vacation home in the bahamas with a 20 percent down payment. the mortgage has a 7 percent apr compounded monthly and calls for equal monthly payments over the next 30 years. her first payment will be due one month from now. however, the mortgage has an eight-year balloon payment, meaning that the balance of the loan must be paid off at the end of year 8. there were no other transaction costs or finance charges. how much will amanda’s balloon payment be in eight years