La Jolla Beverage products is considering producing a wine cooler that would be a blend of a white wine; a rose wine, and fruit julce. To meet taste specifications, the wine cooler must consist of at least 45% white wine, ot least 25% and no more than 30% rose, and exactly 20% fruit juice. La Jolla purchases the wine from local winerles and the fruit juice from a processing plant in San Francisco. For the current production period, 11000 galions of white Wine and 7500 gallons of rose wine can be purchased; an unlimited amount of fruit juice can be ordered. The costs for the wine are $1 per gallon for the white and $1:5 per gallon for the rose; the fruitjuice can be purchased for $0,5 per gallon. La Jolla Beverage Products can sell all of the wine cooler it can produce fors3 5wer gallon. a. Is the cost of the wine and frut juice a sunk cost or a relevant cost in this situation? Explain. The inpoit in the box below will not be graded, but may be reviewed and considered by your instructor. Prodact sold for profit is not a sunk cost as it is not materials being manafactured, but rather product being purchased on an as-needed basis. Formulate a linear program to determine the blend of the three ingredicnts that will maximize the total profit contribution: Solve the finear program to determine the number of gallone of each ingredient La Jolla should purchase and the total profit contribution it will realize from this blend. If required, round your answers to one decimal place. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank Let W= galloris of white wine Let R= gallons of rose wine Let F= gallons of fruit wine Profit Contrityution = c. If La Jolla could obtain additional amounts of the white wine, should it do so? If so, how much should it be willing to pay for each additional gallon, and how many additional gallons would it want to purchase? The input in the box below will not be graded, but may be reviewed and considered by your instructor. 4. If La Jolla Beverage Products could obtain additional amounts of the rose wine, should it do so? If 50, how much should it be wiling to pay for each additional gallon, and how many additional gallons would it want to purchase? The input in the box below will not be graded, but may be revlewed and considered by your instructor. e. Interpret the shadow price for the constraint corresponding to the requirement that the wine cooler must contain at least 50% white wine. What in your advice to management given this shadow price? The input in the box below will not be aroded, but may be reviewed and considered by your instructor. 1. Interpret the shadow price for the constraint corresponding to the requirement that the wine cooler must contain exactly 20% fruit juice, What is your advice to management given this shadow price? The input in the box below will not be graded, but may be reviewed and considered by your instructor. La Jolla Beverage products is considering producing a wine cooler that would be a blend of a white wine; a rose wine, and fruit julce. To meet taste specifications, the wine cooler must consist of at least 45% white wine, ot least 25% and no more than 30% rose, and exactly 20% fruit juice. La Jolla purchases the wine from local winerles and the fruit juice from a processing plant in San Francisco. For the current production period, 11000 galions of white Wine and 7500 gallons of rose wine can be purchased; an unlimited amount of fruit juice can be ordered. The costs for the wine are $1 per gallon for the white and $1:5 per gallon for the rose; the fruitjuice can be purchased for $0,5 per gallon. La Jolla Beverage Products can sell all of the wine cooler it can produce fors3 5wer gallon. a. Is the cost of the wine and frut juice a sunk cost or a relevant cost in this situation? Explain. The inpoit in the box below will not be graded, but may be reviewed and considered by your instructor. Prodact sold for profit is not a sunk cost as it is not materials being manafactured, but rather product being purchased on an as-needed basis. Formulate a linear program to determine the blend of the three ingredicnts that will maximize the total profit contribution: Solve the finear program to determine the number of gallone of each ingredient La Jolla should purchase and the total profit contribution it will realize from this blend. If required, round your answers to one decimal place. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank Let W= galloris of white wine Let R= gallons of rose wine Let F= gallons of fruit wine Profit Contrityution = c. If La Jolla could obtain additional amounts of the white wine, should it do so? If so, how much should it be willing to pay for each additional gallon, and how many additional gallons would it want to purchase? The input in the box below will not be graded, but may be reviewed and considered by your instructor. 4. If La Jolla Beverage Products could obtain additional amounts of the rose wine, should it do so? If 50, how much should it be wiling to pay for each additional gallon, and how many additional gallons would it want to purchase? The input in the box below will not be graded, but may be revlewed and considered by your instructor. e. Interpret the shadow price for the constraint corresponding to the requirement that the wine cooler must contain at least 50% white wine. What in your advice to management given this shadow price? The input in the box below will not be aroded, but may be reviewed and considered by your instructor. 1. Interpret the shadow price for the constraint corresponding to the requirement that the wine cooler must contain exactly 20% fruit juice, What is your advice to management given this shadow price? The input in the box below will not be graded, but may be reviewed and considered by your instructor