The Total solution for NCERT class 6-12
A merchant plans to sell twotypes of personal computers-a desktop model and a portable model that will costRs 25,000 and Rs 40,000 respectively. He estimates that the total monthlydemand of computers will not exceed 250 units. Determine the number of units ofeach type of computers which the merchant should stock to get maximum profit ifhe does not want to invest more than Rs 70 lakhs and his profit on the desktopmodel is Rs 4500 and on the portable model is RS 5000. Make an LPP and solve itgraphically.
Answer - 41 : -
Acooperative society of formers has 50 hectare of land to grow two crops X andY. The profit from crops X and Y per hectare are estimated as Rs. 10,500and Rs. 9,000respectively. To control weeds, a liquid herbicide has to be used for crops Xand Y at rates of 20 litres and 10 litres per hectare. Further, no more than800 litres of herbicide should be used in order to protect fish and wild lifeusing a pond which collects drainage from this land. How much land should beallocated to each crop so at to maximise the total profit of the society?
Answer - 42 : -
Amanufacturing company makes two models A and B of a product. Each piece ofModel A requires 9 labour hours for fabricating and 1 labour hour forfinishing. Each piece of Model B requires 12 labour hours for fabricating and 3labour hours for finishing. For fabricating and finishing, the maximum labourhours available are 180 and 30 respectively. The company makes a profitof Rs. 8000on each piece of model A and Rs. 1200 on each piece of Model B. Howmany pieces of Model A and Model B should be manufactured per week to realise amaximum profit? What is the maximum profit per week?
Answer - 43 : -
Afactory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hoursof machine time and 3 hours of craftman's time in its making while a cricketbat takes 3 hour of machine time and 1 hour of craftrnan's time. In a day, thefactory has the availability of not more than 42 hours of machine time and 24hours of craftsman's time.
i. What number of rackets and bats must be made if the factory is toWork at full capacity?
ii. If the profit on a racket and on a bat is Rs. 20and Rs. 10respectively, find the maximum profit of the factory when it works at fullcapacity.
Answer - 44 : -