For the following shaded area, the linear constraints except $x\ge 0$ and $y\ge 0$ , are
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Linear Programming  ETEA Model Test MCQS  Part  I
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A Firm makes pents and shirts. A shirt takes 2 hour on machine and 3 hour of man labour while a pent takes 3 hour on machine and 2 hour of man labour. In a week there are 70 hour machine and 75 hour of man labour available. If the firm determine to make x shirts and y pents per week, then for this the linear constraints are0$x\ge 0,\ y\ge 0,\ 2x+3y\ge 70,\ 3x+2y\ge 75$0%0$x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\ge 75$0%0$x\ge 0,\ y\ge 0,\ 2x+3y\ge 70,\ 3x+2y\le 75$0%0$x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\le 75$0%0
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For the L.P. problem Min $z=2{{x}_{1}}+3{{x}_{2}}$ such that ${{x}_{1}}+2{{x}_{2}}\le 4,$ ${{x}_{1}}+{{x}_{2}}\le 6,\ \ {{x}_{1}}+3{{x}_{2}}\ge 9$ and ${{x}_{1}},\ {{x}_{2}}\ge 0$0${{x}_{1}}=1.2$0%0${{x}_{2}}=2.6$0%0$z=10.2$0%0All the above0%0
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A company manufactures two types of products A and B. The storage capacity of its godown is 100 units. Total investment amount is Rs. 30,000. The cost price of A and B are Rs. 400 and Rs. 900 respectively. If all the products have sold and per unit profit is Rs. 100 and Rs. 120 through A and B respectively. If x units of A and y units of B be produced, then two linear constraints and isoprofit line are respectively0$x+y=100;\ 4x+9y=300,\ 100x+120y=c$0%0$x+y\le 100;\ 4x+9y\le 300,\ x+2y=c$0%0$x+y\le 100;\ 4x+9y\le 300,\ 100x+120y=c$0%0$x+y\le 100;\ 9x+4y\le 300,\ x+2y=c$0%0
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The L.P. problem Max $z={{x}_{1}}+{{x}_{2}}$ such that $2{{x}_{1}}+{{x}_{2}}\le 1,\ {{x}_{1}}\le 2,\ {{x}_{1}}+{{x}_{2}}\le 3$ and ${{x}_{1}},\ {{x}_{2}}\ge 0$ has0One solution0%0Three solution0%0An infinite no. of solution0%0None of these0%0
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Minimize $z=\sum\limits_{j=1}^{n}{{}}\sum\limits_{i=1}^{m}{ {{c}_{ij}}\,{{x}_{ij}}}$ Subject to : $\sum\limits_{j=1}^{n}{{{x}_{ij}}\le {{a}_{i}},\ i=1,.......,m}$ $\sum\limits_{i=1}^{m}{{{x}_{ij}}={{b}_{j}},\ j=1,......,n}$ is a (L.P.P.) with number of constraints0$m+n$0%0$mn$0%0mn0%0$\frac{m}{n}$0%0
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