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16.<br />
17.<br />
18.<br />
19.<br />
per ton of Y. It is required to determine the production schedule for maximum<br />
profit and to calculate this profit.<br />
The ABC Candy Company makes three different types of candy bars. The<br />
ingredients, in grams, for each candy bar are as follows:<br />
Candy bar Per unit Chocolate Nuts Caramel Weekly<br />
contribution<br />
A Rs. 2.00 12 4 15 900<br />
demand<br />
B Rs. 2.50 6 10 8 Very large<br />
C Rs. 1.50 10 2 15 Very large<br />
Availability 25000 15000 30000<br />
What should be the product mix to maximise the profits?<br />
The ABC Company sells two types of porch furniture, gliders and chairs. It<br />
makes a profit of Rs 100 on each glider and Rs 40 on each chair. Each glider<br />
requires 40 square feet of display space and each chair requires 25 square feet of<br />
display space. It takes 1% hours to assemble a glider and 2/3 hours to assemble<br />
a chair. ABC has 900 square feet space and 30 hours of labour available for<br />
assembly. The sales manager wants at least two chairs displayed for every glider<br />
displayed. Formulate and solve the LP model.<br />
Mr. Jain, the marketing manager of ABC Typewriter Company, is trying to<br />
decide how to allocate his salesmen to the company's three primary markets.<br />
Market 1 is in an urban area and salesmen can sell on the average 40<br />
typewriters per week. Salesmen in the other two markets can sell on the<br />
average, 36 and 25 typewriters per week, respectively. For the coming week<br />
three of the salesmen will be on leave, leaving only 12 men for duty. Also<br />
because of lack of company cars, maximum of 5 salesmen can be allocated to<br />
Market 1. The selling expenses for salesmen per week for salesmen in each area<br />
are Rs 800 for Market 1 and Rs 700 and Rs 500 per week for Markets 2 and 3,<br />
respectively. The budget for the next week is Rs 7000. The profit margin per<br />
typewriter is Rs 150. Determine how many salesmen should be assigned to each<br />
area so as to maximise the profits.<br />
A certain manufacturer of screw fastenings found that there was a market for<br />
packages of mixed screw sizes. His market research data indicated that two<br />
mixtures of three screw types (1, 2 and 3) properly priced would be most<br />
acceptable to the buyer. The relevant data is:<br />
Mixture Specifications Selling price<br />
A<br />
B<br />
> 50% Type 1<br />
< 30% Type 2<br />
any quantity of Type 3<br />
> 35% of Type 1<br />
< 45% of Type 2<br />
any quantity of Type 3<br />
Rs 5 per kg<br />
Rs 4 per kg
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