Photon Technologies, Inc., a manufacturer of batteries for mobile phones, signed a contract with a large electronics manufacturer to produce three models of lithium-ion battery packs for a new line of phones. The contract calls for the following:

Battery Pack	Production Quantity
PT-100	200,000
PT-200	100,000
PT-300	150,000

Photon Technologies can manufacture the battery packs at manufacturing plants located in the Philippines and Mexico. The unit cost of the battery packs differs at the two plants because of differences in production equipment and wage rates. The unit costs for each battery pack at each manufacturing plant are as follows:

	Plant
Product	Philippines	Mexico
PT-100	$0.95	$0.98
PT-200	$0.98	$1.06
PT-300	$1.34	$1.15

The PT-100 and PT-200 battery packs are produced using similar production equipment available at both plants. However, each plant has a limited capacity for the total number of PT-100 and PT-200 battery packs produced. The combined PT-100 and PT-200 production capacities are 175,000 units at the Philippines plant and 160,000 units at the Mexico plant. The PT-300 production capacities are 75,000 units at the Philippines plant and 100,000 units at the Mexico plant. The cost of shipping from the Philippines plant is $0.21 per unit, and the cost of shipping from the Mexico plant is $0.08 per unit.

Solve for total cost please.

(b)

Solve the linear program developed in part (a), to determine the optimal production plan. If the amount is zero, enter "0".

	Qty Produced
	Phillipines	Mexico
PT-100
PT-200
PT-300

Total Cost = $

parks for n new line of phones. Tho contrart ralla far tho following: 5.7. 1 por unit, nend the nost of shippirg forn the Moxino nlant is 50.08 par unit. and shipping cost assotisted with the new contrest. If the constraint is one, enter "1". If the amount is zero, enter "0". Lot P1 - number of 1 PT 100 battary packs procuced at tho rhilippinc- plant Pz - numher of P2200 battary packs producad at the rhilippines plant F3 - number of PT-300 bytlery pycks prubjed yl Uie Pinilippines plarib. M1 - number of PT-100 bytlery packs probjed yl. Uie Mexivo plamb. M2 - number of PT-200 bythery packs probjed al. the Mexico plamt. M13 - mumber of PT-300 bytlery packs produced yt the Mexivo plant. (b) Salve the linear progran teveloped in part (a), to terermine the aptimal proatiztion plan. If tha amaunt is zero, enter 'o". Total Cost 5 Fhiilupiries plaml. At least f unit. fisnt. If required, raund your snswer to two decimal digits. parks for n new line of phones. Tho contrart ralla far tho following: 5.7. 1 por unit, nend the nost of shippirg forn the Moxino nlant is 50.08 par unit. and shipping cost assotisted with the new contrest. If the constraint is one, enter "1". If the amount is zero, enter "0". Lot P1 - number of 1 PT 100 battary packs procuced at tho rhilippinc- plant Pz - numher of P2200 battary packs producad at the rhilippines plant F3 - number of PT-300 bytlery pycks prubjed yl Uie Pinilippines plarib. M1 - number of PT-100 bytlery packs probjed yl. Uie Mexivo plamb. M2 - number of PT-200 bythery packs probjed al. the Mexico plamt. M13 - mumber of PT-300 bytlery packs produced yt the Mexivo plant. (b) Salve the linear progran teveloped in part (a), to terermine the aptimal proatiztion plan. If tha amaunt is zero, enter 'o". Total Cost 5 Fhiilupiries plaml. At least f unit. fisnt. If required, raund your snswer to two decimal digits