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Question: use the given information to write constraints and a cost...

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Use the given information to write constraints and a cost function. You do not need to graph the constraints, find corner points, or solve the problem. A family building an earth sheltered house needs at least 170 cubic yards of fill dirt and at least 35 cubic yards of top soil, Supplier A can provide at most 95 cubic yards of fill dirt and at most a combined total of 120 cubic yards of the two types of dirt. Supplier B can provide at most 30 cubic yards of top soil and at most a combined total of 15s cubic yards of the two types of dirt. The cost of fill dirt from supplier A is $3 per cubic yard. The cost of topsoil from supplier A is $27 per cubic yard. The cost of fill dirt from supplier B is $5 per cubic yard. The cost of topsoll from supplier B is $30 per cubic yard. Find the amount of each type of dirt that should be pravided by each supplier in order to minimize the cost. Use the following variables: x1-# cu. yd. of fill dirt from supplier A x2cu.yd. of topsoil from supplier A x3-# cu, yd. of fill dirt from supplier B x4cu. yd. of topsoil from supplier B (Note: In giving constraints below, to enter asymbol type To enter a symbol, type In all answers list the variables in the natural order x1, x2, x3, x4. For axample, dont enter somothing like x2+x1o0. Instoad, enter x1+x2 500.) Give the constraint corresponding to the limit on the amount of fill dirt that can be provided by supplier A Give the constraint that indicates a limit on the combined total amount of dirt that can be provided by supplier A Give the constraint that describes the limit on the amount of topsoil that supplier B can provide. Give the constraint that indicates a limit on the combined total amount of dirt that can be providad by supplier B Give the constraint that corresponds to the farnilys need for fill dirt Give the constraint that corresponds to the familys need for topsoil. Give the cost function. (Use C for cost and dont include the symbol

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