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To maintain his health a person must fulfil certain minimum daily requiremens for several kinds of nutrients. Assuming that there are only thee kinds of nutrients-calcium, protein and calories and the person’s diet consists of only two food items, I and II, whose price and nutrient contents are shown in the table below: , Food I (per Ib), Food II (per Ib), Minimum daily requirement for the nutrient Calcium Protein Calories, 10 5 2, 5 4 6, 20 20 13 Price (Rs.), 60, 100, What combination of two food items will satisfy the daily requirement and entail the least cost? Formulate this as a LPP.

The following table gives the number of finished articles turned out per day be different number of workers in a factors. Find the standard deviation of the daily output of finished articles. Find the variance and standard deviation of the following frequency distribution: Number of article:, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 No. of workers:, 3, 7, 11, 14, 18, 17, 13, 8, 5, 4

The following table gives the number of finished articles turned out per day be different number of workers in a factors. Find the standard deviation of the daily output of finished articles. Find the variance and standard deviation of the following frequency distribution: Number of article:, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 No. of workers:, 3, 7, 11, 14, 18, 17, 13, 8, 5, 4

A house is fitted with seven tubelights of rating 220 V, 40 W each , two bulbs of rating 220 V, 60 W each, five fans each drawing a current of 0.4 A at 220 V , and a heater of resistance 48.4 Omega . The main line power supplied to the house is at 220 V . Calculate the bill for the month of january if tubelights and bulbs are used for 6 h daily, fans for 1 h daily , and heater for 10 h daily. The electricity is to cost Rs. 2 per unit.

For the following data of daily wages (in rupees0 received by 30 labourers in a certain factory, construct a grouped frequency distribution table by dividing the range into class intervals of equal width, each corresponding to 2 rupees, in such a way that the mid-value of the first class interval corresponds to 12 rupees. 14,16,16,14,22,13,15,24,12,23,14,20,17,21,22,18,18,19,20,17,16,15,11,12,21,20,17,18,19,23