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What combination of A and B should the firm produce to maximize profit if it has at its disposal 150 loads of X, 240 containers of Y and 150 hours of Z?
What combination of A and B should it produce to maximize profits, assuming that fractions of a tonne can be manufactured? What will these profits be?
How can this firm maximize its weekly sales revenue if the capacity of its factory is limited to 390 hours cutting, 630 hours drilling and 450 hours finishing.
It is advised not to put more than 60% of its total investments into any one type of share. What investment portfolio will maximize the expected return?
The per-unit costs of A and B are £2 and £6 respectively. What combination of A and B will give the cheapest way of producing a litre of the final product?
What is the cheapest way of making the final product? Which vitamins will exceed the minimum requirements per centilitre using this method?
How many tonnes of R and Tshould the firm use to minimize the cost of a batch of the final product?
A firm makes two goods A and B using the three inputs X, Y and Z. What combination of A and B should it produce to maximize total profit?
Discuss what mix of X and Y should the firm use to minimize the cost of a load of the final product?
The firm is under contract to produce a minimum of 6 units of B. How many units of A should it make to maximize profit?
A parent invests £6,000 for a 7-year-old child in a fixed interest scheme which guarantees 8% interest. How much will the child have at the age of 21?
What will £24,000 invested at 11% be worth at the end of 5 years? How much will an investment of £3,000 be worth at the end of 6 years?
A sum of £450,000 is invested at a monthly interest rate of 0.6%. What will the final sum be after 18 months? What is the corresponding AER?
If £1,600 is invested at a quarterly rate of interest of 4.5% what will the final sum be after 18 months? What is the corresponding AER?
How much interest is earned on £50,000 invested for three months at a nominal annual interest rate of 5%?
You need to have £7,500 on 1 January next year. How much do you need to invest at 1.3% per month if your investment is made on 1 June?
How much do you need to invest now in order to earn £25,000 in 10 years' time if the interest rate is (a) 10% (b) 8% (c) 6.5%?
If it can earn 9.5% interest, how long would any given sum of money take to treble its value? How long will £70,000 take to accumulate to £100,000?
What monthly rate of interest must be paid on a sum of £2,800 if it is to accumulate to £3,000 after 8 months?
At what rate of interest will £600 accumulate to £900 in 5 years? Calculate the NPV and say whether or not each is a worthwhile investment.
Why Is this project a worthwhile investment if the going rate of interest is (a) 9%, (b) 10%?
In the geometric series below (i) identify the constant ratio, (ii) say what the sixth term will be and (iii) calculate the sum of each series up to ten terms.
It sells 420 units in January and then sales increase by 10% each month. What will total demand be in the last 6 months of the year?
What would be a reasonable price to pay for a pension plan which guarantees to pay £200 a month for next 2 years if you can earn 1.2% a month on your account?
What is the maximum price you would pay for a perpetual annuity that will commence annual payment of £400 in 12 months' time if market rate of interest is 13%?