The owner of a small restaurant can prepare a particular meal at a csot of Rupees 100. He estimates that if the menu price of the meal is x rupees, then the number of customers who will order that meal at that price in an evening is given by the function D(x)=200-x . Express his day revenue, total cost and profit on this meal as functions of x.

The owner of a small restaurant can prepare a particular meal at a cost of Rupees 100. He extimate that if the menu price of the meal is x rupees, then the number of customers who will order that meal at that price in an evening is given by the function D (x) = 200 - x. Express his day revenue total cost and profit on this meal as a function of x.

Manufacturer can sell x items at a price of rupees (5-(x)/(100)) each. Thecost price of x items is Rs ((x)/(5)+500) . Find the number of items he should sell to earn maximum profit.

A salesperson whose annual earnings can be represented by the function A (x) = 30,000+0.04x, where x is the rupee value of the merchandise he sells. His son is also in sales and his earnings are represented by the function S(x) = 25,000 +0.05 x. Find (A+S) (x) and determine the total family income if they each sell Rs 1,50,00,000 worth of merchandise.

A sales person whose annual earnings can be represented by the function A(x)=30,000+0.4x, where x is the rupee value of the merchandise he sells. His on is also in sales and his earnings are represented by the function S(x)=25,000+0.05x . Find (A+S)(x) and determine the total family income if they each sell Rupees 1,50,00,000 worth of merchandise.

A firm produces two types of calculators each week, x number of type A and y number of type B . The weekly revenue and cost functions (in rupees) are R(x, y) = 80 x + 90 y + 0.04 xy - 0.05 x^(2) - 0.05y^(2) and C(x, y) = 8x + 6y + 2000 respectively. Find the profit function P (x, y)

A firm produces two types of calculators each week, x number of type A and y number of type B. The weekly revenue and cost functions (in rupees) are R(x,y) =80 x + 90 y + 0.04 xy - 0.05x^(2) - 0.05y^(2) and C(x,y) =8x + 6y + 2000 respectively. (i) Find the profit function P(x,y). (ii) Find (del P)/(del x)(1200, 1800) and (del P)/(del y) (1200, 1800) and interpret these results.

A firm produces two types of calculators each week, x number of type A and y number of type B . The weekly revenue and cost functions (in rupees) are R(x, y) = 80 x + 90 y + 0.04 xy - 0.05 x^(2) - 0.05y^(2) and C(x, y) = 8x + 6y + 2000 respectively. Find (del P)/(del x)(1200, 1800) and (del p)/(del y)(1200, 1800) and interpret these results.

A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below: {:("Market",,"Products",),(I,"10,000","2,000","18,000"),(II,"6,000","20,000","8,000"):} (a) If unit sale prices of x, y and z are Rs. 2.50, Rs. 1.50 and Rs. 1.00, respectively, find the total revenue in each market with the help of matrix algebra. (b) If the unit costs of the above three commodities are Rs. 2.00, Rs. 1.00 and 50 paise respectively. Find the gross profit.