You make vanilla and blueberry yogurts with fresh milk. Every day you canpurchase at most 150L of fresh milk. To make 1L of vanilla yogurt, you need exactly0.75L of fresh milk. To make 1L of blueberry yogurt, you need exactly 0.5L of freshmilk. Vanilla yogurt sells for $150/L, and blueberry yogurt sells for $180/L.You have committed to selling 30L of vanilla yogurt and 15L of blueberry yogurt toCityU. Your yogurt is popular in the market and current demand far exceeeds yourproduction capacity. Any yogurt produced beyond the above requirements can be sold atyour own yogurt store.You want to maximize your revenue. You construct a LP and use Solver to find theoptimal solution.a. (10 points) Write down the linear program to determine the optimal production plan

Doug is a manager of a local supermarket. In an attempt to gain a better understanding of the sales of his produce he monitors the sales of blueberries across the year. In January, at a price of $3.50 per punnet, 200 blueberry punnets are sold daily. In July at the same price, 300 punnets are sold and then in September at the same price, 110 punnets are sold daily. Which of the following statements are true: From January to September there has been an increase in demand. From July to September there has been no change in demand, only quantity demanded. From January to July there has been an increase in demand. However, there is no indication as to why this occurred. From July to September there has been a positive movement in demand.

Strawberries cost $4.20 per kilogram and cream costs $8.56 per litre.Venus buys 1.2 kg of strawberries and 125 ml of cream.Work out the total cost.

Juliette loves to eat ice cream and spends a fortune each week buying it. In an effort to save money, she is considering making her own ice cream at home. The cost of an ice cream maker is $195 and the cost of ingredients is $6 for each 1.5 L batch. The cost of the same 1.5 L is $8 at the store. If she eats three litres of ice cream per month, will she save money by making her favourite treat at home? Assume the ice cream maker has a one-year warranty and breaks immediately after.

Xander's Muffins is trying to decide whether or not to continue a particular muffin flavour. The information shown is available for Xander's different muffin ranges. If the range is dropped, the business will not pay the direct fixed costs, but will still have the allocated common fixed costs. Blueberry Raspberry white chocolate Banana walnut Sales volume 500 units 500 units 500 units Sales price $4 per unit $5 per unit $4.50 per unit Variable costs $1.50 per unit $1.75 per unit $1.25 per unit Direct fixed costs 1,000 1,000 1,000 Allocated common fixed costs 500 1500 500 Net income -250 -875 125 What will be the total net profit if the business drops the Blueberry muffins?

Beryl's Iced Tea currently rents a bottling machine for $55,000 per​ year, including all maintenance expenses. It is considering purchasing a machine instead and is comparing two​ options: a. Purchase the machine it is currently renting for $150,000. This machine will require $21,000 per year in ongoing maintenance expenses. b. Purchase a​ new, more advanced machine for $260,000. This machine will require $19,000 per year in ongoing maintenance expenses and will lower bottling costs by $14,000 per year.​ Also, $36,000 will be spent up front training the new operators of the machine. Suppose the appropriate discount rate is 8% per year and the machine is purchased today. Maintenance and bottling costs are paid at the end of each​ year, as is the rental of the machine. Assume also that the machines will be depreciated via the​ straight-line method over seven years and that they have a​ ten-year life with a negligible salvage value. The marginal corporate tax rate is 40%. The NPV of renting the current machine is