SOLUTION: 1) A company charges Rs. 700 for a ratio set on an order of 60 or less sets.The charge is reduced by Rs.10 per set ordered in excess of 60. find the largest size order company shou

Question 1140411: 1) A company charges Rs. 700 for a ratio set on an order of 60 or less sets.The charge is reduced by Rs.10 per set ordered in excess of 60. find the largest size order company should allow so as to receive a maximum revenue.
2) From a thin piece of cardboard. 8 inch by 8 inch, square corners are cut out so that the sides can be folded up to make a box. what dimensions will yield a box of maximum volume? what is the maximum volume?
3) Healing a large building requires 50000 gallons of oil in 1997. As the building is extended, two forecasts for growth in demand for oil are made. forecast 1: increases of 5000 gallons per year.
forecast 2: increases of 6% each year.
Use series to calculate for each forecast
(a) The number of gallons required in 1999, 2004.
(b) The total consumption of oil from 1997 to 2004 inclusive.
4) A manufacturing company finds that the daily cost of producing x items of a product is given by C(x)=210x+7000 [note: Q=x]
(i) If each item is sold for Rs.350, find the minimum number that must be produced and sold daily to ensure no loss.
(ii) If the selling price is increased by Rs.35 per piece, what would break even point.
5) A shop which sells t-shirts has a demand function and a total cost function given by the equations, P=240-10Q and TC=120+8Q
(a) Write down the equations for TR and profit.
(b) Calculate the number of t-shirts which must be sold to maximise
(i) profit, (ii) total revenue
(c) Write down the equations for MR and MC.
Show that MR=MC when profit is maximised.
(d) Plot the graphs of
(i) TR and TC on the same diagram. From the graph estimate the break-even points. (confirm the answer with algebra)
(ii) MR and MC on the same diagram. What is the significance of the point of intersection of these two graphs?
Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
.

For your info :

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